f cos 9 alpha = sina and 9 alpha < 900 , then the value of tan5 alpha is

Q: 12 and cos 0< 0, find the values of cos Oand tan 0. 37 If sin 0=-

A: The given question can be solved as shown in step2

Q: Use addition formulas and the values of sin θ and cos θ for θ = π/3 , π/4 to compute sin π /12 and…

A: To calculate sin π /12 sinπ12=sinπ3-π4=sinπ3cosπ4-cosπ3sinπ4=32·12-12·12sinπ12=3-122

Q: If sin θ = 3.5x and cos θ = 5.5x, find x

A: sinθ=3.5xcosθ=5.5xDivide above equations.

Q: Find the values of sin 2θ, cos 2θ, tan 2θ given: tan θ= 9/40 if π < θ < 3π/2

A: Given that : tan θ= 9/40 if π &lt; θ &lt; 3π/2

Q: tanθ= 1/2,     π<θ< 3π/2 Find the exact value of cos(2θ)

A: We have to find the value of the given condition

Q: If sec θ = -13/6 and sin θ > 0, what is 3sinθ - cos(θ)?

A: Solving the problem by finding where the theta lies.

Q: If sec 0 = -13/6 and sin 0 > 0, what is 3sine + cos(0)?

A:

Q: If cosθ=4/7 and csc θ<0, find sinθ and tanθ

A: The solution is given below:

Q: Find the exact value ofcos(α+β)under the given conditions.   sinα=15/17, 0<α<π/2​;…

A:

Q: Find the exact values: 1. tan tan ((-(square root of 3)/2)) 2. cos cos ((-8/15)) 3. sin sin…

A:

Q: If tan (x) = 6/8, what is cos (2x), given that 0 < x < (pi/2).

A: Given that, tan x=68, 0&lt;x&lt;π2 To find  cos (2x)

Q: If 90∘<θ<180∘ and sin⁡θ=2/7, find cos⁡2θ.

A: If 90∘&lt;θ&lt;180∘ and sin⁡θ=2/7, find cos⁡2θ.

Q: If  sin(θ) =  12 13  and  tan(θ) = −  12 5,  find  sec(θ).

A:

Q: Find the exact values for sin 0, cos 0, and tan 0. 4. 3. sin 0- (Simplify your answer. Type an…

A: We are given a right angle triangle, on the basis of which we need to find the values of…

Q: Find the exact value of the expression cos (5π/6 + 2πn) + tan (5π/6 + nπ), n is an integer.. Do not…

A:

Q: What is the exact value of cos⁡(11π/4)?

A:

Q: Given that tanθ=−1/3, and cosθ>0, find sin⁡2θ, cos⁡2θ, and tan2θ

A:

Q: Find the exact value of sin 20, cos 20, tan 20, and the quadrant in which 20 lies. 45 0 in quadrant…

A: Given query is to find the value of indicated trigonometric functions.

Q: Suppose that tan 0 = 12 and 0° < 0 < 90°. Find the exact values of cos and tan

A:

Q: If sec θ = -13/6 and sin θ > 0 , what is 3 sin θ = cos(-θ) ?

A:

Q: find the exact value of cos 227 cos 167 + sin 227 sin 167 by using the formula for cos (a-b).

A: Solution :       We have to find the exact value by using the formula for cos(a - b)  = ? Now, Given…

Q: Find the exact value of the expression. 1. cos 10° cos 50° - sin 10° sin 50° 2. sin 15° cos 45° +…

A:

Q: What are the steps on how to get the exact value of cos 90°?

A:

Q: if sin=-5/13, and cos<0, what is tangent and decent?

A: Given: sinθ=-513, cosθ&lt;0 To determine: tanθ, secθ.

Q: Find the exact value of the expression. sin 15° cos 45° + cos 15° sin 45° -/2

A:

Q: If 0 < α < π/2, and sin α = 1/3, evaluate the following in exact form.  a. sin α/2 b. cos 2α

A:

Q: Find the exact value of the expression. sin 25°cos 35° + cos 25°sin35°

A: Given : sin25°cos35°+cos25°sin35°

Q: If cos 9 alpha = sina and 9 alpha < 900 , then the value of tan5 alpha is

A:

Q: Use addition formulas and the values of sin θ and cos θ for θ = π/3 ,π/4 to compute sin 7π /12 and…

A:

Q: Find cos 20 if sin 0 = cos 20

A:

Q: If sin θ =1/4 and 0 ≤ θ ≤π/2 (a) determine the EXACT value of cos2θ (b) determine the EXACT value…

A: Solution

Q: 1. If theta = arcsin(1/2) and 90deg < theta < 270deg, what is tan theta? 2. Find the value of…

A:

Q: Find sin 0 and cos 0 if the point 9.37, 7.06 is on the terminal side of 0?

A:

Q: if 0°<θ<90° and sin⁡θ=3/8, find cos⁡2θ.

A: To find: cos2θ Given information: if 0°&lt;θ&lt;90° and sinθ=38 Formula used: cos2θ=1-2sin2θ

Q: Find sin θ if cos θ =  4 5 and θ terminates in QI.

A: Given that , Cosθ=45, whereθ terminate in QI that is in quadrant Iwe have find the value of sin θ

Q: Find the exact value by using a sum or difference identity. 15) sin (95") cos (35') - cos (95") sin…

A:

Q: Given that cos x= -2/5, and π/2 < x < π, find the exact value of sin 2x.

A:

Q: if sin=-5/13, and cos<0, what's tan=? and sec=?

A: Given, sinx=-513 We know that, sin2θ+cos2θ=1⇒cos2θ=1-sin2θ Here,…

Q: sinθ

A:

Q: Find the exact values of sin(θ/2), cos(θ/2), and tan(θ/2) for the given condition. csc θ = − 5/3 ;…

A: GivenCosec θ=-53    -90°&lt;θ&lt;0°to find sin θ2,cos θ2,tan θ2since -90°&lt;θ&lt;0° lie in IV…

Q: Give exact values for cos 30°, sin 30°, cos 60°, sin 60°, cos 90°,and sin 90°.

A: Exacts values  for  a)  cos 30° b) sin 30° c) cos 60° d) sin 60° e) cos 90°,and f) sin 90°.

Q: 4. If cos 4A - -1/9, find cos A 5. If tan 4A - 24/7, find sec A

A:

Q: If cos 0 = and 0 is acute, then cos 20 is

A:

Q: sin 61° = cos ; cos 17° = sin 0;

A: Given: sin61°=cosθ;cos17°=sinθ

Q: The exact value of tan COS -11 Cos 2 is: 2 1

A: to find the exact value of tancos-112

Q: Suppose that tan0 = -3 and Ꮎ Find the exact values of cos Cos tan 0 2 2 0 0 PIN 2 <<. and tan 0 DIN…

A: Given:⇒tanθ=-3,π2&lt;θ&lt;π

Q: sec θ = 13/12 and θ between 3 π/2 and 2 π, find exact values in reduced form for: tan θ: sin(2 θ):…

A:

Q: Find cos(20) if sin(0) 11 (Use symbolic notation and fractions where needed.) cos(20) =

A: Given,

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cos(x) = 12/13 ,   csc(x) < 0

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.