Verify the identity. (Simplify at each step.) sin3/2 x cos x - sin72 x cos x = cos3 xV sin3 x . sin7/2 x cos (V sin? x )cos x(1 sin3/2 X COS X %3D = (Van² x )co sin3 X CoS X cos³ x XV sin3 x

Q: То evaluate sin 2x cos 2xdx conveniently, the formula/identity to be used islare cos²2x=1 – sin²2x…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. 4 sin? x cos'x dx

A: To evaluate : ∫-π2π2 sin3x cos4x dx

Q: Find the identical expression for the following. cos x 1+ sin x 1+sin x cos x 2sec x O 2csc x 2cscx…

A: To solve the following trigonometric identity.

Q: 4 sin? x cos xdx

A: Explanation of the solution is given below..

Q: 30 sin? x = 30 + 15 cos x

A: We have sin2x=1-cos2x. Now the equation becomes 301-cos2x=30+15 cos x⇒30-30cos2x=30+15 cos…

Q: Evaluate S2 sin? x cos3 x dx

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: Q4/ Find the value of the following: cos (tan-1 1) 1) sin (sin-) 2) 3) tan - (cos n) 4) cos(sin)

A:

Q: Simplify the given expression. sin(4x) cos(6x) − sin(6x) cos(4x)

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given informa 15 tan(x) x in Quadrant II 8 240 sin(2x) =…

A:

Q: cos 2x sin'x dx can be evaluated by factoring sin x as (sin?x) 2sinx and transform sin?x into 1-…

A:

Q: Complete the identity. (sin x + cos x) cos x)- 1+2 sin x cO X O A. 1- sin x O B. 0 OC. sec x O D. 1

A: use (a+b)2 = a2 + b2 + 2ab and sin2 x + cos2 x = 1

Q: 23. x? sin (x³) cos (x³) dx

A: ∫x2sin5x3cos3x3dx=∫sin5x3cos3x3dx      x3=u,3x2dx=dx, x2dx=1/3 dx=∫sin5x3cos313dx

Q: Find the exact value. a. sin-1(sin 0.8) b. sin(sin-1 1.3) cos(cos-1 n) с. d. cos(cos-1 –0.4)

A:

Q: Solve  cos x = 1/5 for x

A: Given,           cosx=15

Q: Verify the identity. (Simplify at each step.) 1 + sin 0 1- sin e 1 + sin 0 |cos e| 1+ sin e 1- sin 8…

A: We have to verify the given identity.

Q: Evaluate: sin rv1- 4 cos² x dx. /9 – (In r)² Evaluate: dr.

A:

Q: x) = 4•cos(x+7)

A: Use the form of a cos(bx-c)+d to find the (a)=amplitude ,(2πb)= period , (-cb)=phase shift,…

Q: Evaluate: * cos² 2. * x cos? x dx sin

A: Given: ∫cos2xsin4xdx

Q: So² (sin x + cos x)dx = None 1

A: Let I=∫0π2sinx+cosxdx

Q: Evaluate (2 sin? x cos3 x dx 0.

A: The given integral,     ∫0π2sin2x cos3x dx

Q: sin2xdx 1) S7 o sin+x+cos4x

A:

Q: Find at least one solution to the following equation: sin(x² – 1) 1 – sin(x² – 1) sin(x) + sin²(x) +…

A: Given equation is, sinx2-11-sinx2-1=sinx+sin2x+sin3x+sin4x+... The objective is to find at least one…

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

A: see below the answer and calculation

Q: Which one of the following is not equal to cos 4x for all real values of x?«- A sin? 2x – cos? 2x+ В…

A: Evaluating each of the options given

Q: a) ㅠ 3 cos x sinx dx

A:

Q: 8x O B. [5 sin 5x + 8 cos 5x] + C 89

A: The given integral is, '

Q: QProve that: (Cos 38 Cos3e -3 Cos e Sin e)

A:

Q: Verify the identity. (Simplify at each step.) (1 + sin a)(1 – sin a) = cost - cos? a (1 + sin a)(1 –…

A:

Q: -4 sin°(x) × cos(x) = 1.91 × 10 3

A: We will graph y=sin3(x)×cos(x)-1.91×10-4 using a graphing calculator.   And then we look at the…

Q: Sæ³ cos(x*) dæ =

A: We solve it by u part method , ∫x3cosx4dx Let u = x4 Differentiate both side , we get   du = 4x3dx…

Q: 4 595 cos a sin adx= x sin*

A:

Q: Find at least one solution to the following equation: sin(x² – 1) 1– sin(x² – 1) = sin(x) + sin (x)…

A:

Q: The simplified form of cos²(x) sin(x) + sin(1) is: Select one: a. sin(x) b. None of these c. cos(x)…

A:

Q: sin(cos(0.3866)) O -1.0778 O 2.9222

A: We have to solve the problem

Q: Simplify the given expression. sin(3x) cos(5x) − sin(5x) cos(3x)

A: To simplify sin(3x) cos(5x) − sin(5x) cos(3x)

Q: Solve the equation for x if0< x < 2n. 27. 3 cos(2x) – 9 sin r Preview

A: As we know cos 2x = 1 - 2 sin2 x For quadratic equation,  ax2 + bx + c =0 , We have to use quadratic…

Q: Factor  Cos^4 x + 2 cos^2x + 1

A:

Q: Find A and B if the function 3 sin? (4x) sin(6x²) if x 0.

A:

Q: dx = ? 4 sin x – 3 cos x+5

A:

Q: Rewrite cos(x+11π6)cos(x+11π6) in terms of sin(x)sin(x) and cos(x)cos(x)

A: Given expression is cosx+11π6

Q: L{4 sin 5t + 7 cos 6t}

A:

Q: Rewrite 1 sin(x) - 2 cos(x) as A sin(x + ¢) A= $ = Note: ø should be in the interval – n < ¢ < T

A: If asinx + bcosx has to be rewritten as Asin(x+ϕ) then A=a2+b2   and tanϕ=ba⇒ϕ=tan-1(ba)

Q: Which one of the following is not equal to cos 4x for all real values of x? A sin? 2x – cos? 2x B 2…

A: Follow 2nd step.

Q: Evaluate: / tan( tan3x)dr cos?3x i -In |sec(tan3x)|+C A 3 В - In |cos(tan3x)|+C -In |sin(tan3x)|+C 3…

A:

Q: 2 sin? x- cos x – 1= 0

A: Given : 2sin2x - cosx - 1 = 0

Q: 1 cos²(x) 2

A: The given question as belonging to the calculus in which we have to find the given integral so now…

Q: Verify the following identities: a. sin 3x = 3 sin x-4 sin x b. 1+ cos 10x = 2 cos 5x %3D

A:

Q: cos x sin'x dx can be evaluated by factoring sin'x as (sin?x)²sinx and transform sin?x into 1– cos²x…

A:

Q: sin?(x) + 5 cos(x) + 13

A: Given: Sin2x +5cosx+13