Establish the identity. sin =1- sin x

Q: 3. Find the exact value of the expression: sin tan-1 12 [tan- + cos

A: We have to find

Q: sin 180° tan 315º Cos 0°

A:

Q: prove the identity of sin(pi/2+)=cosx

A: We know the identity,

Q: 7Tt 2. sin - 12

A: Here we have to find the exact value of       sin(-7pi/2)

Q: Verify the identity.

A:

Q: Rewrite – 6 sin(2) + 3 cos(x) as A sin(x + ¢)

A: Given data:   The given expression is -6sin(x)+3cos(x).   The given expression can be written as,…

Q: Verify the identity. sin(8) 1 - cos(8) cot(0) + csc(0)

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: sin 120° =________ ; cos 240° =_______

A: To Determine: sin120∘ and cos240∘ Given: we have sin120∘and cos240∘ Explanation: we have  sin120∘ we…

Q: Rewrite sin in terms of sin() and cos(x). 6

A:

Q: Verify the identity: sin 3θ = 3 sin θ - 4 sin3 θ.

A: To verify, sin3θ=3sinθ-4sin3θ

Q: Verify the identity: sin2θ(1 + cot2 θ) = 1.

A: GIVEN sin2θ(1+cot2θ)=1

Q: sin (x) = -0.8. What is cos (90° - x)? Submit

A: Given: sin (x)= -0.8 Formula: cos (A-B)= cos A cos B + sin A sin B

Q: Sin 37 = cos

A:

Q: the identity.  1+cos?= Sin2 ?/ 1-

A:

Q: Verify the identity: sin2 θ(1 + cot2 θ) = 1

A: Verify: sin2θ1+cot2θ=1

Q: Sin(x−6)=Cos(54) What does X = ?

A:

Q: Evaluate (a) sin-1 (b) cos-1 (-)

A: Solve the trigonometry

Q: Verify the identity sin2 θ(1 + cot2 θ) = 1.

A:

Q: Simplify: (i) sin(cos-a) (ii) cos(tan-a) (iii) tan(sin-x) (iv) sec(sin-a)

A:

Q: ( sin(3x+1) cos?(3x+1) Evaluate

A:

Q: Prove the identity. sin(x - 1) = sin(x) Use the Subtraction Formula for Sine, and then simplify.…

A: As we know the subtraction formula for Sine. sina-b=sinacosb-cosasinb   To prove the identity…

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

A:

Q: Rewrite sin ( x + ) in terms of sin z and cos r. Enclose arguments of functions in parentheses. For…

A:

Q: Find a value of x that satisfies the equation cos (-1°) = sin (x). Submit

A:

Q: Compute the exact value of sin(195 °)

A:

Q: sin (90° – x) = -0.8. What is cos (x)? %3D

A: Solution Let consider identity sin(90°-x)=cosx ........................(1)

Q: sin (A+B) ) Prove the identity tanA+tanB cosA.cosB

A:

Q: 3元 What is the exact value of sin ? Show your work. 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: Rewrite sin x + in terms of sin(x) and 4 cos(x).

A: Recall:  sin(A+B)=sin A cos B+sin B cos A We have, A=x, B=5π4

Q: 3. What is the exact value of sin (-165°) using the half-angle identities? V6+v2 O V6-V2 4 -V6+v2 4…

A:

Q: Prove the identity. sin(x - 7) = -sin(x) Use the Subtraction Formula for Sine, and then simplify.…

A:

Q: Prove the identity. sin(x - x) = -sin(x) Use the Subtraction Formula for Sine, and then simplify.…

A:

Q: Write sin(11t) – sin(6t) of different frequencies. as a product of two trigonometric functions…

A: To write sin11t−sin6t as a product of two trigonometric functions of difference frequencies.

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: Rewrite sin( x in terms of sin(æ) and cos(x). 6

A:

Q: Verify the identity sin(a-B) cs a cos B tan a – tan ß. %3D

A: We have to verify the given identity, sin(α - β)cosα cosβ = tanα - tanβ

Q: Rewrite -6 sin(æ) - 3 cos(x) as A sin(x + 4)

A:

Q: a) Find the values of sin' -1 1 2

A: GivenSin-112

Q: Verify the identity. sin(-x)+cos(-x) = -sin x + cos x   **By steps**

A: To prove identity  sin(-x)+cos(-x) = -sin x + cos x

Q: Evaluate: sin-'A, where A = a + jb

A:

Q: Verify the identity:sin 2x = 2 cot x sin2 x.

A: To verify the identity: sin2x=2cotx sin2x Verification: We know that, sin2x=2sinx cosx Simplifying…

Q: a) Find the values of sin-11

A: To find the values of arcsin(1/2)

Q: Simplify the identity: : sin2 x cos x Cos 2 x sin x

A: given trigonometric identity  Sin2x.cosx/cos2xsinx  Can be solved by using formula as shown below

Q: Prove the identity. sin(x - 7T) = -sin(x) Use the Subtraction Formula for Sine, and then simplify.…

A:

Q: Find all the values of sin-1 i. |

A: Given, sin-1i. Let sin-1i=z. Then, sinz=i. As sin2z+cos2z=1 so,…

Q: find the value of sin-1 (sin 7pi/4)

A:

Q: Prove the identity sin(7 – 0) = sin 0. %3D

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.