Verify that the equation is an identity. sin 2x = 2 sin x cos x

Q: VERIFY THE IDENTITY : sin (2A) cos (2 A) = sec (0) %3D sin (e) Cos (e)

A:

Q: Verify the Identity: sin(pi/2 +x)=cosx

A: Since, sina+b=sinacosb+cosasinb Then, LHS- sinπ2+x=sinπ2cosx+cosπ2sinx=cosx where a=π2,b=x

Q: Use substitution to determine whether the given x-value is a solution of the equation: cos x = sin…

A: We plug x=π/3.

Q: Use the fundamental identities to simplify the expression cos2 y /(1 − sin y).

A: To simplify the expression cos2 y /(1 − sin y).

Q: Use the addition formulas for sine and cosine to simplify the expression. sin(a - ) + sin( + =) +…

A: In this question we need to simplify the given trigonometric function.

Q: Evaluate the expression cos sin 3

A:

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

A: From the given figure:   With respect to X.   Perpendicular=4Base=8   From the Paythagorous theorem:…

Q: rewrite sin(x+pi/4) in terms of sin(x) and cos(x)

A: sin(A + B) = sinA cosB + cosA sinB

Q: sin(A) tan(A)+ cos(A) = COS

A: Given- sinAtanA+cosA To Simplify- The above trigonometric expression. Identity Used- sin2A+cos2A=1.…

Q: Rewrite sin 2 cos as an algebraic expression in v. 5

A: Explanation: Given that,                          We know that,                           Use the…

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

A: Given : sinx + 7π6

Q: Use substitution to determine whether the given x-value is a solution of the equation.

A: Given- cosx=sin2x, x=π3 To find- whether the given x value is a solution of equation or not. Concept…

Q: 6. Explain the steps in verifying that the following equation is an identity. sec x sin x = cot x…

A: We have given equation  Taking left side of equation  LHS = secxsinx-sinxcosx           =…

Q: Find the exact value of the expression. cor( an () sin

A:

Q: Simplify  1/cos a 1/sin b

A: we know that  1cosθ=secθ1sinθ=cosecθ

Q: Verify that each equation is an identity 1. sin 4x = 4 sin x cos x cos 2a

A: To verify:

Q: Simplify. (a) (b) cos sin 8

A: we have to simplify: (a) 1a1b=1a×b=bathis is the required answer.

Q: Simplify the identity, show all steps. sin(x) 1+cos(x) 1. 1+ cos(x) sin(x)

A: We use identities  sin2(x) +cos2(x) = 1  1/sin(x) = csc(x)

Q: Verify that the equation is an identity. 41) cos 즉 2 = 1 - sin x 2 X sin 2

A: Here we have to verify the equation is an identity.   [cos(x/2) - sin(x/2)]2 = 1 - sin x

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). X sin(2u) = cos(2u) =…

A:

Q: Write 3 sin(t) – 4 cos(t) in the form A sin(Bt + ¢)

A: Given: ft=3sint-4sint multiply the above expression by, The expression 'f(t)' becomes,

Q: Determine whether the equation is an identity. If it is an identity, prove it. ((cot^2)x) / (csc x -…

A: Given,

Q: Find the exact value of each expression.

A: Given: y=sinsin-132+cos-11 We know that sin-132=π3…

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: sinθ+cosθcosθ=1+tanθwe have to prove left hand side equals to right hand side so there are two…

Q: snip

A: Find the exact value of cossin-1-13.

Q: Complete the identity using the triangle method (a) cos(tan^−1(x)) = (b) sin(sec^−1(x))= a)=…

A:

Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin?x- cosx = 2…

A:

Q: Use the fundamental identities to fully simplify the expression. sin(x) cos(x) sec(x)

A: Given:

Q: If cos(0 - π/2) 0.54, find sin(- 0)

A:

Q: Simplify the expressions below. (a) tan(cos−1 x)     (b) sin(tan−1 x)

A: (a)

Q: Use the fundamental identities to simplify the expression. cos 0 - cos e sin? e

A:

Q: Verify the identity sin(+e) - cos e

A: Given : sin ( 3π/2 + θ ) = - cos ( θ )

Q: Rewrite sin 2 cos as an algebraic expression in v. 4 sin 2 cos 4 믐 =

A: We have to write the trigonometric expression as algebraic form in terms of v.

Q: Verify that the equation is an identity. 1 1 1- sin x 1+ sin x COS

A: We need to verify the identity:11-sinx+11+sinx=2cos2x

Q: Verify the identity shown below. cos e sec e – sin 0 tan 0

A:

Q: Evaluate sin" a cos a da.

A: Given : ∫sin4x cosx dx

Q: Verify that each equation is an identity. Sin 2A cos 2A = sin 2A - 4sin^3 A cos A

A:

Q: Verify that the equation is an identity. 2 tan 1+ cos x

A: we know thatcosx=2cos2x2-1consider…

Q: Complete the identity. sin(@)=

A: Trigonometry identity

Q: Find the exact value of each expression:\\ (a) sin¯¹ (√3/2) \\ (b) cos¯¹(−1) \\ (a) \\ (b)

A:

Q: . Complete the identity: sin2x + tan2x + cos²x =? A) cos3x B) sec?x C) tan2x D) sin x

A:

Q: Simplify: cos^4 A − sin^4 A

A: In this question, we need to simplify cos4 A -sin4 A.

Q: Use an appropriate identity to find the exact value of the expression. sin (165°) -N2Wa+1) 4

A: Consider the given expression: sin (165°)

Q: Use basic identities to simplify sin r + cos2 a sin a.

A:

Q: Verify that the following trigonometric equation is an identity. 2 0 sin2 0 =tan? 0+cos? 0-1 tan

A: Here we have to verify that the given trigonometric equation is an identity.  tan2θ sin2θ = tan2θ +…

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

A:

Q: Use an identity to solve the equation: cos 2x + sin x = 0, 0 ≤ x <2π.

A: To solve the equation: cos2x+sinx=0, where 0≤x≤2π. Solution: We know that, cos2x=cos2x-sin2x and…

Q: Find the exact value of the expression sin-1 √2/2

A: Given: sin-122 We have, sin-122 sinπ4=22⇒π4=sin-122

Q: Prove the identity sin30 cos 30 = 2 cos e sin 0

A: The given equation is sin3θsinθ-cos3θcosθ=2 the objective is to prove the identity. the formula for…