exp(exp(-in)) coS TT -1sin Tt -0.3679 - exp(cos Tu i sin Tt) 1 Sin 0.3679

Q: cos 0 1- 1+sin0

A: To simplify.

Q: Evaluate the following leaving the result as an EXACT value. cos⁡(tan^-1⁡(4/3)+sin^−1⁡(−2/5))

A: We have to solve the problem

Q: Express cos- (a) in terms of cos(2a). Express sin (a) in terms of cos(2a).

A: This question is of double angled identity.

Q: Cos'8 Sin&0 Sin'o 2.

A:

Q: Tan(cos^-1(1/3)+sin^1(4/5)). Find the exact value

A:

Q: (a) cos(cos-(2/3)) (b) sin¬1(sin(67 /5))

A: Given that: a) cos cos-123b) sin -1 sin 6π5

Q: True or False sin² 0 = 1 – cos² 0.

A: Use the trigonometric identity sin2θ+cos2θ=1 to verify the statement.

Q: snip

A: tan θ=-2=-21tan θ=opposite sideadjacent sidehypotenuse=adjacent side2+opposite side2…

Q: 3. Evaluate and solve for x. (No decimal values allowed) tan 30° sec60°sin90° esc-45 sec600 X(sin…

A: Put tan30°=1/√3, sin30°=1/2, sin90°=1 Cosec45°=√2, cos45°=1/√2 Then solve for x

Q: 2 cos I Use a counter-example to show that cos 2x

A:

Q: [(sin(180° - 0))(tan (90° + e))]/(cos(360° + e)) + (csc(270° - 0)(sin(5a/2 - e))

A:

Q: cos(8) – sin(0) = 1

A: cos(θ)- sin(θ)=1

Q: sin? 0 1- cose (7) cos“ 0+2 cos0+1 1+ cos0

A: To prove ..

Q: 1- sin 3 Cos B 1+ sin 8 Cos 3

A: We have prove the identity 1-sinβcosβ=cosβ1+sinβ , using trigonometric properties or mathematical…

Q: 7. Evaluate the expression: a. sin -1 (1/2) = b. arc cos (

A: We have to find given evaluation.

Q: 8.) C1-cose 1-05 do sin

A: Given that ∫1-cosθsinθdθSolution;∫1-cosθsinθdθ∫1sinθ-cosθsinθdθ∫cosecθ-cotθdθlncosecθ-cotθ-lnsinθ+c

Q: (cor- (-꼴)) + tan-1 (sin (5)) ? What is the exact value of sin COS 2 -2/2-T 4 -2/2+T 4 2/2+T 4 2/2-n…

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

Q: sin (x) = -0.9. If x and y are complementary, what is cos (y)? %3D Sub

A:

Q: Cos2 π/3 + sin2 π/3

A:

Q: 3 TC Suppose that sin 0 = and <0<n. - Find the exact values of cos and tan 2 - 2

A:

Q: Evaluate sec(cos^-1(tan(sin^-1(a/b)))where a/b is a positive real number.

A: If  sin(u)=x∴u=sin-1(x) then, cos(sin-1(x))=cos(u)=1-(sin(u))2=1-x2   Thus for any angle x we have…

Q: prove sin2 a/2=csc a-cot a/2 csc a

A:

Q: 11. sin-(-0.99) 12. cos(-0.1)

A:

Q: 4 cos 0 =- and 270° < 0 < 360° 5 Find sin 20

A: Given that, cosθ=45where 270°&lt;θ&lt;360° We have to find sin2θ. Here θ lies in the 4th quadrant,…

Q: 1. COS I Verify the identity sin 2

A: see below the answer

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

A:

Q: 4 cos(0) cos (sin(0)) do

A: To Evaluate ∫4cosθcos5sinθdθ

Q: sin 30 cos 30 Prove the identity sin 0 2. cos 0

A: Topic = Trigonometry

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: Show sin 3A = 3 sin A cos²A - sin A.

A: Explanation: Given that: sin3A=3sinAcos2A-sinA Concept: sin3A=3sinA-4sin3A sin2A+cos2A=1

Q: 40. sin (27 - x) 37T 42. cos COS

A:

Q: csc 0tan e sin 6 cos 8 = cosd

A: Given data:   The given trigonometric expression is cscθtanθ-cosθ =sin2θ/cosθ.     The left-hand…

Q: 1. Let 0 € (-5,0) such that cos 0 = : (a) What is the value of csc 6? sin(-210°) cos² (rev) (b)…

A:

Q: sin 0 = - 3 and 180° <0 <270° Find cos 20

A: given that sinθ=-35 and 180°&lt;θ&lt;270°find cos2θ

Q: 12 and 90° <0< 180 13 Suppose that sin0 = %3D Find the exact values of sin and tan- sin %3D - %3D…

A:

Q: cos² 3ß – sin² 3ß

A:

Q: Find sin 2 and tan from the given information. 2 CoS 2. sin(x) = 25 0° < x < 90° sin(즐)- 2 Cos 2…

A:

Q: 13) cos(74) = sin(x). Find x. %3D

A: O find the value of 'x'..

Q: 1. Verify the identity sin? x- sin* x cos?(-x)- cos*(-x) by rewriting the left side of the equation.…

A: sin2x-sin4x=cos2(-x)-cos4(-x)

Q: 1- cos(20) cOS 2. sin(0)

A:

Q: 13 cOs(TT) -13 7? Po(x) =| 13 P1(x) = 2! -13 76 -13 n4 x4 4! P3(x) = 6! P2(x) =

A: This is a problem of Mclaurin expansion.

Q: Value of cos15° sin15°| is: sin 15° cos15 (a) 1 (d) none of these Select the correct response: a

A:

Q: Verify the identity : (sin θ + cos θ)2 = 1 + sin 2θ

A: we have to verify the identity: sin θ +cos θ2=1+sin 2θ

Q: 1 + cos '3 Evaluate exactly: sin(tan' 7 -1 -1 25

A: To evaluate the given trigonometric expression

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos²(a) Choose... sin?(æ)…

A: Let's find.

Q: Find sinθ when cosθ=0.618 and tanθ<0.

A:

Q: 7Tt Find the exact value of sin 4 7t sin 4 %3D

A: The objective is to find the exact value.

Q: rectangular form. [3 (cos 40° + j sin 40°)] [4 (cos 80° + jsin 80°)]

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.