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Ans Cos 135° can be written as Cos (90° 45°) Using formula, Cos (ab) = Cos a Cos b – Sin a Sin b So, Cos 135° = Cos 90° Cos 45° – Sin 90° Sin 45° cos 135° = 0 x 1/√2 – 1 x 1/√2Trigonometry angles are the angles derived from the ratios of trigonometry functions Trigonometry is the study of the relationship between angle and sides of a rightangle triangle30° 1 √3 = √3 3 45° 1 60° √3 What is an exact value?

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Sin √3/2 value in degrees-Answer (1 of 6) sin^2 60° is the same as (sin 60°)^2 (square of sin 60°) There are some common angles like 0°, 30°, 45°, 60° and 90° We know sine values of these angles (0, 1/2, √2/2, √3/2, 1 in same order) sin 60° equals √3/2 If we take square of this number, we get 3/4 (Square of squareValue The value of cos of angle 30 degrees is equal to √32 in fraction form exactly It is an irrational number and equals to in decimal form and the same value is considered as 0866 approximately in mathematics

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Sin15° = (√6 − √2) (4) (Total 13 marks) Q10 (a) Express 3 cos θ 4 sin θ in the form R cos(θ − α), where R and α are constants, R > 0 and 0 < α < 90° (4) (b) Hence find the maximum value of 3 cos θ 4 sin θ and the smallest positive value of θ for which this maximum occurs (3) (2a) 2 – a 2 = (3a) 2 AD 2 = 3a 2 AD = a√3 Now, In right Triangle ADB, Sin 30 o = BD/AB = a/2a = ½ or 05 Check More Trigonometry Important Formulae Things to Remember The decimal value of sin30 degree and Cos60 degree is same ie 050; The exact value of sec(30) is 2√3 Also, what is COS 30 in fraction?

Since our angle is greater than 180 and less than or equal to 270 degrees, it is located in Quadrant III In the third quadrant, the values for tan are positive only Determine angle type 210 is an obtuse angle since it is greater than 90° sin(210) = 1/2 In Microsoft Excel or Google Sheets, you write this function as =SIN(RADIANS(210)) Trigonometric Function Values of Special Angles θ° θ Therefore, both the sine and cosine of 45° equal 1/√2 which may also be written √2 / 2 Next consider 30° and 60° angles In a 30°60°90° right triangle, the ratios of the sides are 1 √3 2 It follows that sin 30° = cos 60° = 1/2, and sin 60° = cos 30° = √3 / 2Enter angle in degrees or radians Enter angle or number for inverse functions Enter PI for π Calculate sin(65)° Determine quadrant Since our angle is between 0 and 90 degrees, it is located in Quadrant I In the first quadrant, the values for sin, cos and tan are positive Determine angle type 65 is an acute angle since it is less than 90° sin(65) = Write sin(65) in

 In the right angle triangle, Sin 60 value is the ratio of the length of the perpendicular side to the length of the hypotenuse Based on the above diagram, The ratio of Sin 60 = Perpendicular/ Hypotenuse The method to calculate the Sin 60 degree exact value is to divide √3 by √4 or √3/√4 With this, we got• π/2 • π/4 • π • 0 Given that cosθ=x6 Which expression represents θ in terms of x?The function spans from 1 to 1, and so do the results from our arcsin calculator The range of the angle values is usually between 90° and 90° There are a number of arcsin rules, like that sin (arcsin (x)) = x, or that arcsinα arcsinβ = arcsin (α√ (1β 2) β√ (1α 2 )), as well as cosine of the arcsine cos (arcsin (x)) = sin

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Use this simple cos calculator to calculate the cos value for 2° in radians / degrees The Trignometric Table of sin, cos, tan, cosec, sec, cot is useful to learn the common angles of trigonometrical ratios from 0° to 360° Select degrees or radians in the drop down box and calculate the exact cos 2° value easily α cos (α) Webistes provides you with standard degreeExplanation For sin 240 degrees, the angle 240° lies between 180° and 270° (Third Quadrant ) Since sine function is negative in the third quadrant, thus sin 240° value = (√3/2) or Since the sine function is a periodic function, we can represent sin 240° as, sin 240 degrees = sin (240° n × 360°), n ∈ Z Sin 45 Degree Value is 1/√2 or \(\frac{1}{\sqrt{2}}\) and in the decimal form, it is So if you are looking for Sin 45 degree value and other related concepts then you have landed on the right page

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Sin 15 = √( (√31) 2 / 8 ) = (√31)/ √8 = (√31)/ (2√2) by simple algebraic transformations we obtain As can be seen from the example, the values of the trigonometric functions of the sine, cosine and tangent angles of 15 degrees can be obtained by simple trigonometric transformations using trigonometric identities of the transformations of double angles and halves of given anglesIf the angle in a rightangled triangle is 30 degrees, then the value of cosine is known as cos of angle 30 degrees The cosine of angle 30 degrees in the Sexagesimal angle measuring system is written or expressed as cos (30°) In the fraction format, the value of cos (30°) is equal to √3/2 Sin 45 Degree Value is 1/ √ 2 or 1 2 and in the decimal form, it is So if you are looking for Sin 45 degree value and other related concepts then you have landed on the right page In the next few sections of this article, we will provide you with all the details on sin values for 0°, 30°, 45°, 60°, 90°360°

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The relation between the value of an angle in radians and its value in degrees is readily obtained as follows Referring to Figure 19(b) imagine that the arc AB extends to cover half the complete perimeter of the circle The arc length is now πr (half the circumference of the circle) so the angle θ subtended by AB is now θ = πr r = π radians But clearly this angle is 180 Thus π radiansYou might know that cos(60°)=1/2 and sin(60°)=√3/2 as well as tan(45°)=1, but are 30, 45 and 60 the only angles up to 90° with a formula for their trig values? The value of tan 30 degrees is 1/√3 In trigonometry, the tangent of an angle in a rightangled triangle is equal to the ratio of opposite side and the adjacent side of the angle Tan 30 degrees is also represented by tan π/6 in terms of radians The exact value of tan 30° is

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Trigonometry Solve for ? ± √(1sin 2 (180°)) ± 1/√(1 tan 2 (180°)) ± cot 180°/√(1 cot 2 (180°)) ±√(cosec 2 (180°) 1)/cosec 180° 1/sec 180° The ultimate value of cos 180° will be negative because 180° is on the negative xaxis Things to Remember Trigonometry is a branch of mathematics that deals with the length, height, and angles of triangles Engineers, architects, and astronauts all240 = 4π/3 =√3/2 2405 = 481π/360 = 241 = 241π/180 = 2415 = 161π/1 =087 242 = 121π/90 =0 2425 = 97π/72 =0

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Sin 30° is lying in the first quadrant so its final value will be positive Sinθ reciprocal is What is the value of arcsin(3√2) in degrees? Answer and Explanation The exact value of cos(45°) is √(2) / 2 If an angle in a right triangle has measure α, then the cosine of that angle, or 27 Related Question Answers Found What is a tangent of 45 degrees?

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Take a square and draw lines from the center to the corners and toFrom the above equations, we get sin 60 degrees exact value as √3/2 In the same way, we can find the values for cos and tan ratios Therefore, the exact value of sin 60 degrees is √3/2 Cos 0° = Sin 90° = 1 Cos 30°= Sin 60° = √3/2 Cos 45° = Sin 45° = 1/√2 Cos 60° = Sin 30° =1/2 In the right angle triangle, Sin 60 value is the ratio of the length of the perpendicular side to the length of the hypotenuse Based on the above diagram, The ratio of Sin 60 = Perpendicular/ Hypotenuse The method to calculate the Sin 60 degree exact value is to divide √3 by √4 or √3/√4 With this, we got

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By using the value of cosine function relations, we can easily find the value of sin 1 degrees Using the trigonometry formula, sin (90 a) = cos a, we can find the sin 1 value We know that the value of cos 30 degrees is √3/2 Therefore, sin 1° = √3/2 If θ and 2θ – 45° are acute angles such that sin θ = cos (2θ – 45°), then tan θ is equal to A 1 B 1 C √3 D 1/√3 asked May 19 in Trigonometry by Yaana ( 355k points) trigonometry• cos(x/6) • arccos(x/6) • sin(x/6) • arcsin(x/6) A bird watcher is 45 ft from the base of a tree and spots an oriole at the top of the 140 ft tree What is the angle

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As our angle of interest is Sin 90 So accordingly, the Sin function of an angle or Sin 90 degrees will be equal to the ratio of the length of the opposite side to the length of the hypotenuse side Why is tan 30? If sin θ = √3/2, find the value of all Tratios of θ ← Prev Question Next Question → 0 votes 114k views asked in Trigonometry by Vevek01 (472k points) If sin θ = √3/2, find the value of all Tratios of θ trigonometric identities;Exact Trigonometric Function Values What angles have an exact expression for their sines, cosines and tangents?

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 The value of cos 60 degree is (05 in decimal form) or 1/2 Trigonometry is used in right angled triangles to calculate parameters such as the length, height, and angle of the triangle There are six types of trigonometric functions which we use primarily They are The standard angles of the trigonometric ratios are 0°, 30°, 45° 60°, 90°Deg = rad = sin;Sin 60 value= √3 /2 So the exact value of Sin 60 degree is √3/2 In the same manner, we can calculate the value of other trigonometry ratios with different degrees Define Trigonometry Angles?

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The table contains standard angles in degrees and radians, that very easy to convert of degrees to radians and vice versa Various standard angles including 0°, 30°, 45°, 60°, 90°, sometimes with other angles such as 180°, 270° and 360° It consists of trigonometric ratios – sine, cosine, tangent, cotangent, coscent, secant These ratios can be abbreviated as sin, cos, tan, cosecSine calculator online sin(x) calculator This website uses cookies to improve your experience, analyze traffic and display ads The value of both is 0 You can also use the rightangled triangle method in which Cos = Base/Hypotenuse Q Find the value of cos 135°?

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Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorWhat is Sine in Mathematics?Sin (x)= ( square root of 3)/2 sin(x) = √3 2 sin ( x) = 3 2 Take the inverse sine of both sides of the equation to extract x x from inside the sine x = arcsin( √3 2) x = arcsin ( 3 2) The exact value of arcsin( √3 2) arcsin ( 3 2) is π 3 π 3 x = π 3 x = π 3

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 For tan (x y), numerator is positive & denominator is negative For tan (x – y), numerator is negative & denominator is positive Let's take x = 60°, y = 30° and verify sin (x y) = sin x cos y cos x sin y sin (60° 30°) = sin 60° cos 30° cos 60° sin 30° sin (90°) = (√3/2) × (√3/2) (1/2) × (1/2) 1 = 3/4 1/4 1 = 4/4 1 = 1 Hence verified sin (x – y) = sin x cos y The exact value of cos(105) is √2−√64 2 6 4 Term sin of 60 degrees Definition radical 3 / 2; By using the value of cosine function relations, we can easily find the value of sin 1 degrees Using the trigonometry formula, sin (90 a) = cos a, we can find the sin 1 value We know that the value of cos 30 degrees is √3/2 Therefore, sin 1° = √3/2

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30 Degrees Angle Tan=Sin/Cos;Explanation For sin 2 degrees, the angle 2° lies between 0° and 90° (First Quadrant ) Since sine function is positive in the first quadrant, thus sin 2° value = ⇒ sin 2° = sin 362° = sin 722°, and so on Note Since, sine is an odd function, the value of sin (2°) = sin (2°)Definition Exact value is where you cannot estimate the value you must

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 Calculating this, the sine of 18 degrees becomes sin 3° The above leads you to one of the paths to sine of 3 degrees and to sine of 6 degrees For example, sine (18° 15°) will give us the sine of 3 degrees which is sin 3° = sin (18° − 15°) = sin 18° cos 15° − sin 15° cos 18° This gives us the following value of sin 3°Answer There is no simple way to calculate this, only with a calculator Using it, if \dfrac{\sqrt{3}}{2} is in radians, \sin \dfrac{\sqrt{3}}{2} = and if it is in degrees, \sin \dfrac{\sqrt{3}}{2}^\circ = You might be wanting toSine, is a trigonometric function of an angle The sine of an angle is defined in the context of a right triangle for the specified angle, it is the ratio of the length of the side that is opposite that angle to (which divided by) the length of the longest side of the triangle (thatis called the hypotenuse)

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 Online Questions and Answers in Plane Trigonometry Series Following is the list of multiple choice questions in this brand new series Plane Trigonometry MCQs PART 1 MCQs from Number 1 – 50 Answer key PART I PART 2 MCQs from Number 51 – 100 Answer key PART II PART 3 MCQs from Number 101 – 150 Answer key PART III DOWNLOAD PDFShare It On Facebook Twitter Email 1 Answer 1 vote answered by Nidhi01 (599k points) selectedEnter your answer in the box What is the value of arccos(−1) in radians?

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 Recall that in a right triangle with angle measures degrees, the side lengths are at a 1√32 ratio as seen below Thus, we use the definition of sine to see that the 60 degree angle is opposite the √3 side and the hypotenuse is the 2 side Thus, since sin(60o) = √3 2, sin−1( √3 2) = 60o Answer linkTan 30 degree is equal to 1/√3 and its exact value isTerm sin of 45 degrees Definition radical 2 / 2 Term cos of 45 degrees Definition radical 2 / 2 Term tan of 45 degrees Definition 1 Term cot of 45 degrees Definition 1 Why is tangent 45 degrees equal 1?

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