p(x) = sin cos x Select the correct response: tan x O 1 O sin? x – cos² x 2 COS“ x -

Q: s+2s ds s2+1

A: I have stated the used formulas in the solution.

Q: Assume b + 0 and compute -4 tan- (bx + c) dx . Your answer should be in terms of b and c. -4 tan-…

A: Given: ∫-4tan-1bx+cdx

Q: aluate 4e3 tan z sec2 x dx.

A:

Q: If tan x = sin(2x) cos(2x) tan(2x) = = = - 1 3 cos x > 0,, then ;

A:

Q: 48. Simplify a. 1/cos x b. 1/secx c. 1/tan x d. 1/sin x 1 sin³ x col² x sin x

A:

Q: cos(x + y)cos(x – y) = cos²x – sin?y %3D

A: Here we are going to use the formula cos(a+b)=cosacosb-sinasinb. For any a,b∈R.

Q: liu cos? (x) 1- sin (x)

A: Formula used: Sin2x + cos2x = 1 a2 - b2 = (a - b)(a + b)

Q: tanx dx cos²x

A: Given that: ∫tanxcos2xdx

Q: п/4 sin7x + 1 dx cos?x - π/4 Select one: а. 2 b. 4 С. 1 d. 0

A:

Q: sec(t) – cos(t) - Simplify to a single trig function. sin(t)

A: Using trigonometric formulas

Q: Verify that (sin(0) csc(0))+ (cot(0) tan(0)) = 2

A: We have to verify,

Q: fip xp COS T 2. Oa) 2x sin(x) cos(2x) P-sin(2x) d- sin(x)+2x Osin(x) acer

A: y=cos (x2) We need to find dydx

Q: (ii) S. sin?x + tan²x dx 6

A: The given integral is: I=∫0π6 sin2x+tan2xdx

Q: cos (2x) -dx C Cos (x (x)

A: Use substitution method.  Convert cos(2x) = 2cos^2(x) -1

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

A:

Q: (cos x)(sin x)V1 – sin x dx

A: Let sin x = t , hence, cos x dx=dt . The integral, ∫(cos x)(sin x)1-sin xdx can be written as ∫(sin…

Q: 2 cos? x – sin x – 1 = 0

A: We need to solve the equation 2cos2x-sinx-1=0.

Q: 3. Find S sin5 x cos* x dx.

A: Use substitution method

Q: 1+sin x dx COS x

A:

Q: if g- Sin (cos 8x) Find y NP

A:

Q: T/3 sin x dx COsx -1

A: I have stated the used formulas in the solution.

Q: Is the function f(x)=sin(3x)+cos(tan x) even, odd, or neither? Why?

A: Recall: A function f(x) is even if  f(x) =f(-x). A function f(x) is odd if f(x)=-f(-x)

Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

A:

Q: cos x II. S .dx V1-2 sin x III. Stan³x sec*x.dx

A:

Q: 2 Cos4 Sin (sinz) de

A: Consider the integral  ∫cosxsin2sinxdx

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: y = 8 tan 5x + 4 cos 3x + 11secx

A:

Q: Evaluate | sin2x tan (sinx)dx

A:

Q: c. sin 2x: = 2 tan x 1+tan² x d. 2 cos x cos 2x+1 =secx ✓✓✓✓

A: