Let z = 5 e5π i/4 Write z, z4, z⁹ and 2-2 in the form a + bi. z = 5 cos (5.) +/-5 sin(5.4) 4 Z4 z⁹ ||

Q: Rewrite – 2 sin(r) + 3 cos(x) as A sin(z + o) A = $ =

A:

Q: Solve for [o, 2 T. Sin(20) + cos 0 =0 CO

A: Given equation is By using the identity  we get

Q: tan²(z) cos³(z)dæ

A:

Q: Find all solutions to cos(3nx) =

A: To find all the solution of: cos3πx=12

Q: (4) = - V2 -1 cos 4

A: Given,            cos-122=-π4

Q: π/3 π/6 sin 3x cos3xdx

A: The given integral is.

Q: R/2 7 cos?(0) do

A:

Q: 1 Prove that sec 03D Cos 0

A: Let P(x,y) be a point on a circle of radius r associated with the angle θ.

Q: 7 sin(2t) + 4 cos(t) = 0 %3D

A:

Q: 2/2 16/1+cos 0 de 0

A: We use the half-angle identity

Q: x/2 sin3(0) cos (0) do

A:

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

A: Given the trigonometry function

Q: Find the exact value of 1 - O sin(√2) O cos(√2) cos(2) O ln(1 + √2) O e ² 2 2! +4 8 6! + 16 8! 32…

A:

Q: What is an equation for the cosine graph shown below? -135 -90 -45 -11 -10 +9 8/ -7 -6 -5 3 2 1 45…

A: Given query is to find the cosine equation of the function.

Q: Estimate cos(π/4 - 0.1) + cosπ/4

A: Solving

Q: Find L {e 2°cos3t}. -2t

A: The Laplace transform of  a function is Fs=Lft. Given ft=e-2tcos3t. Apply the transformation rule…