Sketch the graph of the following function.

Sketch the graph of the function (include two full periods). y=csc (Pi - x) y=1/4 csc (x + Pi/4) y=2 sec (2x - Pi)

Trigonometric Identities

Verify that each trigonometric equation is an identity cos0/ sin0 cot0 = 1

Use trigonometric identities to find the exact value.

sin pi/12

Solve y=a cos bt with t measured in seconds.

s(t) = -4 cos 10t inches after t seconds. A)What is the maximum height that the weight rises above the equilibrium position? is this right? 4inches B)What are the frequency and period of the system? is this right? 4pi/4 c)When does the weight first reach its maximum height? is this right? after 4 cycles d)calc ...continues

Find the amplitude, period, vertical translation, and phase shift of the following periodic function

y= 4-(3/4)sin(3*x-pi)

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)