(4) Rewrite (1 + tan2 x)/(1 + cot2 x)in terms of sine and cosine, and then simplify the expression sothat no quotients appear.

Q: 6. Suppose that sin(0) of sin(20). 15 and that the terminal side of 0 is in the second quadrant.…

A: The solution is:

Q: Find the exact value of sin 2x , cos 2x , tan 2x , and the quadrant in which 2x lies given that sinx…

A: Given:sin x=1237 and x lies in 2nd quadrant.  In 2nd quadrant only sine is positive, cosine and…

Q: Find the exact value of sin 15◦ .

A: ANSWER:

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A:

Q: 4 Suppose that sina and 90° < a < 180°. 5 a Find the exact values of sin and tan 2 गंत 2

A:

Q: Assume that sin(0.42) = 0.41. Use properties of the cosine and sine to determine sin(-0.42), sin(6π…

A: Given: sin0.42=0.41 Properties used: sin-θ=-sinθsinnπ-θ=--1n sinθcosθ=±1-sin2θ

Q: 1 and 0 is in the 2nd quadrant, find sin(9) 3 If cos(@) %3D - sint8) = %3D

A:

Q: Verify the identity. sin Ix- - 4 (sin x- cos x) 2 Write the left side in terms of a sum or…

A:

Q: 1. Find the exact value of tan(sin-().

A:

Q: What is an equivalent expression in terms of sine for cos(68)?

A:

Q: Find the exact value of sin(π4). sin(Pi/4) =

A: We will find the exact value as following.

Q: Find the exact value of sin 0 18 14

A:

Q: 3) Find the values of sin 0, cos 0, and tan 0, if 0 is in standard position and its terminal side…

A:

Q: Find the exact value of (sin 14°)2 + (cos 14°)2 - 3

A: Given expression: sin 14∘2+cos 14∘2-3 The objective is to find the exact value of sin 14∘2+cos…

Q: find the exact value of sin(2θ), cos(2θ), tan(2θ), and the quadrant of 2θ. sin(θ)=-(√10)/10), θ in…

A: Given,

Q: What is the formula for sin 2A?

A: Consider the provided expression, sin2A Write the formula of the expression, We can write as,…

Q: The equation 2 tan2 x − 3 tan x + 1 = 0 is a trigonometric equation of ________ type.

A: We are given a trigonometric equation 2 tan2(x)-3tanx+1=0. We have to write the type of this…

Q: 4. Find the exact value of sec (585°). 5. Find the exact value of (sin 150°)? + (cos 150°)².

A:

Q: Evaluate the exact value of cos sin 61

A:

Q: Find the exact value of cos20 given sin0 =- and 0 < 0 < 13

A:

Q: 2. Find the exact value of sin 20 and cos 20 if sin 0 = and angle 0 lies in quadrant II.

A:

Q: 7. Give the exact answer for cos ( sin- 13

A: Consider the given expression

Q: 1. What is the exact value of: sin(arctan (-}) + cos-!(÷))

A:

Q: 1. Find the exact value: sinB: Given tanB= -2/5, 3r/2 <B< 2n

A:

Q: Simplify (1+sin A 1-sin A ) into an expression without fractions and involving only a single…

A:

Q: 5 and 90° <0 < 180°. 13 Suppose that sin0 %3D Find the exact values of sin and tan -

A: Given, sinθ=513 and 90°&lt;θ&lt;180° That is θ lies in the second quadrant,

Q: Verify the identity (sin θ + cos θ)2 + (sin θ - cos θ)2 = 2.

A:

Q: Use the facts that cos (π/6)=((√3)/2) and sin (π/6)=1/2 to find the exact value of tan ( π/12)

A: Given: -

Q: 1. Use the sum or difference formula to find the exact answer for sin(255°).

A: Solve

Q: Find the Tan θ given the Sin θ = -1/3 and Sec θ is positive

A: Given  Sin θ=-13 The objective is to calculate Tan θ. Use the following 1. sec θ=1cos θ2. tan θ=sin…

Q: (8) Find the exact value of cos(tan-1(14/3)) by sketching the appropriate right triangle.

A: Given, cos(tan-1(14/3)) = ?

Q: 2. Give the exact value of the principle root in radians of "simplify the radical 3+ 2/2 sin 0 = 5.

A: Given,

Q: Find a value of x that satisfies the equation sin 64° = cos (x). %3D Submit

A: Given that, sin 64°=cosx We have to find the value of x, such that given condition satisfied :

Q: and sin 0 = , find cos 20.

A:

Q: Find the exact value of the expression below, if defined. [sin-) + 2 sin-1 (-) - 2 COs in°

A:

Q: 1. Find the exact value: sinB: Given tanB= -2/5, 3t/2 <B< 2n

A: Given query is to find the value of sinB.

Q: 1. Suppose that cos = 0.68. What is the value of sin(=)? Explain.

A: First we assume cos(α)=0.68cos(α)= 68100 we know that  cos(θ)=adjacenthypotenuseLets mark the…

Q: 12 Determine the exact value of sin 20 given that cos=- and 13 3π 2 π<0< without determining the…

A: Concept: Trigonometric ratios: sinθ=PH; cosθ=BH Where P is perpendicular , H is hypotenuse and B is…

Q: in

A:

Q: 10. If the cos0=- and 0 is located in the third quadrant, what is the value of sin0?

A: Find by drawing a right angle triangle

Q: Find exact values for sin 2/- using the information given. and tan (2) Cos 2

A:

Q: Compute the exact value of sin 12

A: Given query is to find the exact value of given sin function.

Q: Assume that cos(0.19) = 0.98. Use properties of the cosineand sine to determine sin(0.19), cos(0.19…

A:

Q: Find the exact values of the sine, cosine, and tangent of the angle. 12 3 -1 sin (- ) 2 2 12 1- 3…

A: Let us consider

Q: 15. What is the exact value of sin 75°?

A: Sin 75° = Sin(45° + 30°) Sin (A + B) = Sin A. Cos B + Cos A. Sin B Sin (45° + 30°) = Sin 45°. Cos…

Q: Find all solutions to tan 3x = 1, if x is measured in radians withexact values.

A: Find all solutions to tan3x=1.

Q: 7. If sin 0 and 0 is in the first quadrant, find cos 20. %3D

A: The solution is given below:

Q: 5. Use identities to find the indicated value. tan 0 12 A < 0 <- Find sin(20) 5* 2'

A: To find the value of

Q: 3) Find the EXACT value of sin(75°)sin(285°)

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.