Find [2 Cos 30° + i sin 30⁰ Y = 2 n=s 0 = 30 5

Q: TT cos 3x. cos 4x dx

A:

Q: Solve the following equation. sin2 u - 1 = 0

A:

Q: Find the cartesian equation of the following: 6 1. r = 3-sin 0 2. r2 cos(20) = 4 %3D 9. 3. 4 sin(20)…

A:

Q: If e /2i =sin2 then z = 2i In(sin2) + 4k TI - 2i In(sin2) – 4k TI - - 2i In(sin2) + 4k TI - -2…

A: Use the principal log to find z.

Q: What is the amplitude of y= 4 sin 3x? 1 4

A: We can find the amplitude as below

Q: (ii) 2 tan? 45° + cos² 30° – sin? 60°

A: We know that, tan 45° = 1 cos 30° = √3/2 sin 60° = √3/2

Q: Determine the exact value of cos(120)° V3 2

A: The given question is from the trigonometry and can be solved as shown below.

Q: 4. Express the following in cartesian form. 2 2 cos 03 sin

A: Given r=22cosθ-3sinθTo express in cartesian form:

Q: cos 2u · sin u = cos 2u for ,

A:

Q: Find the value of z where z = cos ¹2.

A: We are required to: Find the value of z such that z=cos-12.

Q: cos255 degrees −cos195 degrees =A/2, thenA=  .

A:

Q: = 1+3 cos(30) = 0 sin(8) C a. r = 5 sin b. с. 5

A:

Q: Ca 3+1) cos ca 4+4x)dx

A: To solve ∫x3+1cosx4+4xdx

Q: Solve the following equation on (-o, co) 2 cos2 3x + sin3x = 1 %3D

A: Solve the equation 2cos23x+sin3x=1

Q: 3. Compute f/2 sin ³0cos³0d0 A. 1/20 B. 1/40 C. -1/40 D. 1/24 E.-2/35

A: let

Q: (3) Find cot(cos-(1/3)) OS

A:

Q: find the cos(t) and sin(t) of t=3pi/4

A:

Q: Act) = 10 [1+0s cos 0+ 0.5 Los 20] dacty ✓dt S ?

A: We know that derivative of constant is always zero

Q: 7/2 sin 7x cos 5.x dx JO

A: Recall: 2 sin(A)cos(B)= sin(A+B)+sin(A-B) ∫sinax dx=-cos(ax)a+C

Q: dt 1. cos (2 sin 2r) V1-4r

A:

Q: O.5 = 0.909 Sind +o1265 Sin 25 %3D

A: Here we solve the given equation by using Newton Raphson method as follows

Q: cos 6x cos 2x dx

A:

Q: cos x – 1.75 = -1 COS X sin(4x) = 2 – sin 4x 4 tan(2x) – 1 = 3

A:

Q: QUESTION 3 Je* sin(3x)dx = %3D e8x OA 73 (3 sin3x – 8 cos3x) + C e° 8x OB. (8 sin3x – 3 cos 3x) + C…

A:

Q: cos

A: The given equation is cos2x-3cosx+2sin2x=2-cosx1+cosx To verify the equation solve the LHS,…