Use the figure to find the exact values of sin 2x, cos 2x, and tan 2x. 4 8 а) sin 2x = b) cos 2x = c) tan 2x =

Q: Which of the following is not equivalent to sin 0? sin 0(1 + cot? 0) cos 0 tan 0 Option 1 Option 2…

A: Use trigonometry expression.

Q: Given that sin(x) = 0.42, what is sin(-x)?

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Q: Find the exact value of sin 20, cos 20, and tan 20 using the double-angle formulas. cos 0 = 5 13 S…

A: Given cosθ=513We know that sin2θ+cos2θ=1sin2θ=1-5132        =1-25169        =144169Sinθ=-1213 (As…

Q: Determine the values of sin 20, cos 20, and tan 20, given 3 cos 0 = 1 and 0 ≤ 0 ≤ T 2°

A: We want to find the value of cos2x,  sin2x,  tan2x.

Q: Find without using tables, the values of cos x and sin x when cos 2x is 7/25

A: cos2x=725

Q: Use the sine of the sum of two angles formula to find the exact value of sin(105°) O I+V3 2/2 O 2+v6…

A: We have to find angle

Q: Calculate sin 225° and cos 225° exactly. Use the fact that the point P corresponding to 225° on the…

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Q: 5 7. Given that sin 0 and 270° < 0 < 360°, sketch 0 in standard position and fin 13 sin 2 а.

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Q: 8. Use the given information to find sin 20, cos 20, tan 20. sin =.0 < 0 <; %3D

A: Some Trigonometric formula,                             1.   sin2θ+cos2θ=12.   sin2θ = 2sinθcosθ3.…

Q: In a right triangle, sin(3x)° = cos(40 - x)°. What is the value of x? %3D

A: Given Data: Equation: sin3x°=cos40-x° The relation between sine and cosine is, cos90-θ=sinθ

Q: (1 Point) Sin? 4 A + Cos 4 A = -

A: Given: Sin24A+cos24A=

Q: Assume that 0≤ θ &lt; π/2, Find sin θ, cos θ, and sec θ if cot θ = 4.

A: As value of sinθ and cosθ revolves around +1 to -1 , they take different values depending on the…

Q: 4 5. Find the exact value of sin 105° using half-angle identity. 2+ V3 А. V2+ v2 С. B. V2 + V3 D. V2…

A: Given:  sin105o

Q: To evaluate / tan³ x cos² x dx, we may substitute u = cos x. Select one: a. False b. True c. None of…

A: Given:∫tan3x cos2x dxTrigonometry identities:sin2θ=1-cos2θtanθ=sinθcosθIntegration…

Q: 1. What is the value of Sin 3? 4 TT 2. What is the value of Tan 3

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Q: Find the smallest positive angle such that sin 2a = cos 3a %3|

A: As per our guidelines we can solve only one question. Rest question can be reposted.  Here in…

Q: 3) Use the sum, difference, double or half-angle formulas to find the exact value of cos(sin-1+…

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Q: 7. Find the exact value of tan 6 + sin 0 for the angle 0 shown. 3

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Q: The value of cos x is given. Find sin x and tan x if x lies in the specified interval. 24 COS X= xE…

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Q: Find the exact value of sin 20, cos 20, tan 20, and the quadrant in which 20 lies. 9. sin 0 = , 0 in…

A: To find the exact value of sin 2θ, cos 2θ, tan 2θ, and the quadrant in which 2θ lies. sin θ=45, θ in…

Q: 5. When sin A = -– and A lies in Quadrant III and cos B = - Quadrant II, what is tan(A+ B)? - and B…

A: First find out the values of tanA and tanB than use the trigonometric formula of sum of angles and…

Q: The value of the expression cos r- tan z-2 + sin z + sec is

A: sin2x+cos2x=1 sec2x-tan2x=1

Q: Is the following statement true or false? Explain. sin^−1 x = 1 /

A: We have to check

Q: tan 5, given sin 0: 3 270° <0 < 360° 5

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Q: Use the given information to find the exact value of tan(α/2). sin(α/2)=11/61, 0<α<π/2

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Q: Which value for 0 is a counter example to sin² 0 + cos² 0 = tan²0 as an identity? O O | સ sin² 0 +…

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Q: Given that sin 0 = x, what is the value of sin(27 – 0) in terms of x?

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Q: 7. Given that sin 0 and 270° < 0 < 360°, sketch 0 in standard position and f 13 а. sin b. cos ç. tan

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Q: Given that tan (20 + = 5, where n < 20 < .Find the exact value 2 of sin 0.

A: We will find two values of thetha but we will choose according to condition

Q: 2.) Use the given information to find the exact value of tan( ). , 0 < a < 5 11 sin(2 61 » 2

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Q: 6 If csc B =6, e in Q2, find Sin(20) with

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Q: Use the given information tan α = 8/15, 180° &lt; α &lt; 270° to find the exact value of the…

A: Use the given information tan α = 8/15, 180° &lt; α &lt; 270° to find the exact value of the…

Q: 2 sin- If p = cos -1 q, show that 4p? – 4pt + q? = 1.

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Q: What is sec x equal to if sin x = m, and 0<x<pi/2 ?

A: sinx=m, 0&lt;x&lt;π2 By using the identity sin2x+cos2x=1, we get ⇒m2+cos2x=1⇒cos2x=1-m2⇒cosx=±1-m2…

Q: If the terminal side of B contains the point (6, 8), what is the exact value of sin (8 7/2 10 V2 10…

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Q: Use the figure to derive the formulas for sin sin(). = $(€). [ COS tan TOIN cos e 6 (2). sin 0 cos…

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Q: What is the exact value of cos(85°) cos(65°)– sin(85°)sin(65°) ,

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Q: Prove that, cos20 + sin?0 = 1

A: Let a, b and c be the lengths of right angled triangle. Then by definition,

Q: Express as a sum or difference:4 sin 3 θ cos 7 θ

A: Consider the provided expression, 4sin3θcos7θ Express as a sum or difference. Use the formula of…

Q: Find the smallest possible solution to the equation 7 tan(4a + 199°) = 8 sin(4a + 199°), where a >…

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Q: find the exact values of sin(u/2), cos(u/2) and tan (u/2)

A: Given value -sinu = 35We know,sin2u + cos2u = 1352+cos2u = 1cos2u = 1-925cos2u = 25-925cos2u =…

Q: Suppose that tan t 12 and sin t 20. %3D a. What is the exact value of sin t? b. What is the exact…

A: Given that  tan t=-125sin t &lt;0 To find: (a) The exact value of sin t. (b) The exact value of cos…

Q: Given that tan (0) = -and sin(0) > 0 , find the exact values of cos(0) and csc(0). %3D

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Q: Determine the guadrant in which the terminal side of 0 lies (a) cos 0 0 (Choose one) (b) sin 0 < 0…

A: Given that  A) cosθ&lt;0 and sinθ&gt;0 b) sinθ&lt;0 and tanθ&lt;0

Q: What is the exact value of sin(67.5°)cos(22.5°)?

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Q: Suppose v is in the interval 0, with tan v = 11. Find sin v. 2 Enter the exact answer. sin v = ?…

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Q: Use the given information sec α = -3, π/2 &lt; α &lt; π to find the exact value of the following: a.…

A: Given:             sec α = -3,            π/2 &lt; α &lt; π        cos α = =1sec…

Q: Use the Half-Angle Formula to determine cos(105°)

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Q: Use the following information to determine sin(2x). cos(x) 2 and tan(x) is positive Answer sin(2x) =

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Q: (), tan (;). 4. Find sin given that sec(0) = 2, where 90° < 0 < 180° COS

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.