MATH 135 FINAL REVIEW

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100

The sec(18pi)

What is 1

200

The sin(-5pi/6).

What is -1/2

300

The tan^-1(tan(-5pi/6))

What is pi/6?

400

The tan(sec^-1-5).

What is -2radical6

500

cot(-120^o)+tan(30^o)

What is (2radical3)/3)

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100

The quadrant that angle x lies in:

cosx<0

cscx>0

What is Quadrant II?

200

Find the cosx, given that:

sinx=3/5, tanx>0

What is cosx=4/5

300

Find exact solution for tan(15^o)

What is 2-radical 3

400

Simplify:

cosx sinx (secx + tanx)

What is:  sinx + sin²x

500

Simplify:  

(1+cot²x)/cot²x

What is sec²x

period/phase shift... solving equations

100

Determine the period, phase shift, and amplitude.

y=3.5 cos [(pi/4) (x-8)]

Period: 8

Phase Shift: 8 right or (+8)

Amplitude 3.5

200

Determine the period, phase shift, and amplitude.

y=(-3/5)cos(2x-3pi)

Period: pi

Phase shift: 3pi/2 right (or +3pi/2)

Amplitude: 3/5

300

Determine the period, phase shift, and amplitude.

y=9 tan (5x+pi/2)

Period: pi/5

Phase shift: pi/10 left (or -pi/10)

Amplitude: none---its the tangent and tangent has no amplitude

400

Find all solutions from [0,2pi):

5 sec x + 8 = 0

What is 2.246 and 4.037

500

Find all solutions from [0,2pi)

sin(2x - pi/6)=1/2 

What is x= pi/6,  pi/2,  7pi/6,  3pi/2