Rewrite sin x + in terms of sin(x) and 4 cos(x).

Q: Find all values of x such that sin 2x = sin x and 0 <x< 2m.

A: sin 2x=sinx⇒sin 2x-sin x=0⇒2 sin x cos x -sin x=0⇒sin x2 cos x-1=0⇒sin x=0  or  2 cos x-1=0 sin…

Q: Verify: cos? x tan? x-1 1. = -1 %3D cos2 x

A: To verify: cos2xtan2x-1cos2x=-1

Q: convert csc x/ cos x to sec^2 x/ tan x

A:

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

A: Here we will use Trigonometry function of sum of two angles

Q: Graph the function ƒ(x) = sin 2x + cos 3x.

A:

Q: Rewrite cos(x−π6)cos(x-π6) in terms of sin(x)sin(x) and cos(x)cos(x)

A: This is trignometry problem

Q: Rewrite 3 sin(x) +1 cos(x) as A sin(x + 4) A =

A: The trigonometric addition formula is sina+b=sinacosb+cosasinb. The given condition states that…

Q: Differentiate the given sin (x² +1) 2 X

A: Sin(x2+1) To differentiate the given function

Q: Establish the identity. sin =1- sin x

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: Write an algebraic formula for sin[(sin^-1(u)-cos^-1 (v)]

A:

Q: f(x) = (8 sin x + 3 cos x)tan1 -

A:

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

A:

Q: Establish the identity. sin x+ sin y X+y = tan COS X+ COs y 2.

A:

Q: Rewrite cos x + 3 in terms of sin(x) and cos(x). COS

A:

Q: Verify the identity: sin x/(1 + cos x) = (1 - cos x)/sin x.

A: sinx1+cosx=sinx1+cosx×1-cosx1-cosx=sinx1-cosx1-cos2x     ∵a+ba-b=a2-b2=sinx1-cosxsin2x…

Q: sin(cos (2x)), where 0<x<

A:

Q: Rewrite sin (x+7×Pi/6) in terms of sinx and cos x

A:

Q: Rewrite the expression as an algebraic expression in x. tan(sin-1(x))

A:

Q: Evaluate  ∫ππsin2x Cos4x dx .

A: Since the upper limit = the lower limit  So the value of the function will be 0

Q: Rewrite sin(x+2π/3)in terms of sin(x) and cos(x).

A: sin(a+b)=sin(a) . cos(b) + cos(a) . sin(b)

Q: Use an identity to solve the equation tan x - sec x = 1 on the interval [0, 2π).

A: The given equation is tanx-secx=1.

Q: Rewrite  − 6 sin ( x ) − 3 cos ( x ) as  A sin ( x + ϕ ) A= ϕ=

A: see below the answer and calculation

Q: 2T Rewrite cos x + 3 in terms of sin(x) and cos(x)

A:

Q: Rewrite – 4 sin(x) – 5 cos(x) as A sin(x + ø) A = $ =

A: Given the trigonometry function

Q: Rewrite sin ( x in terms of sin(x) and cos(x). 4 |

A: sin ( a - b) = sin a cos b - cos a sin b

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

A: Trigonometry problem...

Q: Rewrite sin ( x + in terms of sin(x) and cos(x) 4

A: We know  sin(a+b) = sin(a)cos(b) + cos(a)sin(b)

Q: Rewrite sin x + in terms of sin(x) and cos(x). 3

A: We will use the below trigonometric identities to solve this

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

A: Recall:  sin(A+B)=sin A cos B+sin B cos A We have, A=x, B=π3

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

A:

Q: Dsinx-sin3x [3] sin³x = find D and E. %D E

A: Solve for D and E

Q: and

A:

Q: what is the derivate of sin(x)cos(x)?

A:

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

A: Given, sin 2x = 2cot x sin2 x. Now consider the right-hand side we get,  R.H.S=2cotx…

Q: Evaluate sin (x) cos(r)dx using an appropriate substitution.

A: Given that, I=∫absin5(x) cos(x) dx We have to find the solution of above integration.

Q: Write f(x) = -2 sin(x) + 4 cos(x) using a single sine function.

A:

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

A:

Q: Verify: cos? x tan? x- 1 1. -1 cos2 x

A:

Q: Evaluate sin (x) cos“(x) dx.

A: ∫ππsin6x cos4x dx

Q: Rewrite sin(x + ¹(x + 11T) 6 sin (z + 11T) = in terms of sine and cosx.

A:

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: Evaluate and simplify y′. y = 2x2 cos-1 x + sin-1 x

A: Given:y=2x2 cos-1x+sin-1x

Q: Use the Substitution Rule to prove that∫sin2ax dx =(x/2) -(sin(2ax)/4a )+ C

A: Given:∫ sin2 ax dx

Q: Rewrite cos(x−3π/4)in terms of sin(x) and cos(x).

A: According to trignometry identity Cos(a-b) = Cosa Cosb +Sina SinbCos(π-θ) = - CosθSin(π-θ) = Sin θ