Find amplitude, period, vertical translation, any phase

y = 2/3 sin(x+pi/2) Amplitude is this right 2/3 Period is this right 2pi Vertical translation this right pi2/(2/3)= 3pi upward Phase shift this right 2pi to the left

Trigonometric Identities

Find sin x and cos x using the sum identities: Suppose x = 5*pi/12

Verify the following identity.

sec^2B/tanB = (cot^2B- tan^2B)/(cotB-tanB)

Wave Function : Amplitude, Period, Vertical Translation and Phase Shift

y= 3-tan(2*x) I'am having problems with the steps. I know amplitude is /a/ so is the amplitude 3. period is 2pi/c is it 2pi/2=4pi and the phase shift x or pi/2/1=pi/2 and the vertical translation=0

Trigonometric Identities : Evaluation without Calculator

Show two ways of evaluating the following expression, without using a calculator. sin 2(pi/3)