4. (a) cos=- -5/3 and sin >0, tan = 5 11 (b) (c) √11 5 (d) √11 6

Q: b) S sin 2 x cos x dx

A:

Q: 3 4) Find / sin (2x) cos (2x)dx

A:

Q: 6. sec (sin-1 x)

A: Interconversion

Q: 4. Solve sin (2-) = 1.

A:

Q: (b) S tan3 x sec² x dx c) S sin³x cos5 x dx

A: The explanation of the solution is :

Q: 4 sec(8) = find cot(0) 2

A: Use trigonometric rations

Q: If cos(t) = 1. cos(2t) 4 = 2. sin(4t) = || || = where t = [0, 90], determine

A:

Q: 2" cos(r) dr.

A:

Q: (ii) S. sin?x + tan²x dx 6

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

Q: Evaluate f æ° sin (ax²) dx оа. sin (az²) 2a2 z cos (az?) 2a +C b. sin (az?) 2a2 sin (az²) z cos…

A:

Q: Find sin (x) if sec (x) sin (x) A = B = B = 26 24' where tan > 0. Put your answer in reduced form.

A:

Q: -1 (3) cscx = sin X

A: We have to use proper substitutions and properties of analytic function.

Q: 음 (sin-" (2))\_-+ = (교2)) | dx 2(:) A 1+ 2() B (C 2 (4) cos-1 (16) D -2 (금) cot () csc(6) CSC

A:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: If csc(x)=8, for 90 degrees<(x)<180 degrees, then what is sine(x/20, cos(x/2), and tan(x/2)?

A:

Q: て6x-y-Sy4)さ

A: Solution: The objective is to find the value of the double integral

Q: Evaluate sin (ax) (ax) V3 (2ах) da Cos

A:

Q: (x² +1)Z. tan-1(sin 2x) Q2/ B/Find dy if у 3 dx (x2 +4)3 . sin-32x

A:

Q: 6. (a) 2 cos?t (b) 3 sin 2x

A:

Q: -7) 6 (b) csc (-7) (c) tan(–7 6 (a) cos

A:

Q: The value of (-1+√3 i)^(1/3) is О 2 exp((2TU/7)^i ) 2 exp((2/3)^i) 2 exp((2T/9)^i) 2 exp((2T/5)^i)…

A: We need to choose correct option. As per Bartleby's guidelines we can solve only one question from…

Q: (a) 2(cos +i sin 플) (b) 3(cos + i sin E)

A: Solve for part (a), as follows: 2cosπ8+isinπ8=2122+2+i.122-2=2+2+i2-2=1.847759+0.765366i

Q: #1) Solve: 2 cos²x − cos x = 1 on [0,2π) —

A: Given ,  2cos^2(x) - cos(x) =1 on [0,2pi)   Substitute  u  for  cos⁡(x) .  2(u)2−(u)=1…

Q: cos 0 = √√2 -|~

A: Let's find angle theta.

Q: b) dx xV5x2 – 4 c) dx 2 + (x - 1)2 d) . /2 2 cosx dx 1+ (sin x)²

A:

Q: 1. / cos" (2t) sin² (2t) dt

A: 1.