Which of the following sinusoidal equations has an amplitude of 9, a period of 1080 and a maximum at (0, 1)? f(x) = 9 cos(x) – 8 ○ f(x) = 9 cos (x) + 1 Of(x) = 9 cos(x) s(૩૪) f(x) = 9 cos(3x) — 8

(b) cos³ (2t) sin-4 (2t) dt sin(2t)

Solve the Bernoulli's equation given below: dy -y cot2x = y' csc2x dx A. [(y )^(- 2)] sin 2x = - x + C B. [(y)^(- 2)] sin 2x = - 2x + C C. [(y )^(- 2)] cos 2x = - x + C O D. [(y )^(- 2)] cos 2x = - 2x + C

Evaluate

(1+siny)[1+sin(-y)]=cos2y

The period of the function f(x) = 2sin3 (x –") is 2n 2n (b) 2 (c) 3 (d)"

Differentiate the following trigonometric functions: 1. f(x) = tan 5x' 2. f(x) = cos 2x² 3. f(x) = sin 5x²

-1/ Determine the amplitude, period, phase shift, equation of axis, domain, and range of the function f(x) = -1.5 cos(6x + 240°) - 2.