MATH 536 TRIG QUIZ

1)Complete the following table without a calculator: do not rationalize!!

you are allowed to copy and paste the table so you can print it out for effeciency -- just the table!!

(images of unit circle, 30, 60, 90 and isosceles right triangles for exact values -- click here)

A	sin A	cos A	tan A	csc A	sec A	cot A
-o/6
o/2
-4o/3
3o/4
-3o
0

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2) For the angles listed

a) indicate the quadrant in which the angle is found
b) convert to radian measure. Do not use 3.14 for o

i) 120 0

ii) 4050

iii) 2250

iv) 3750

v) -1500

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3) For the angles listed

a) indicate the quadrant in which the angle is found
b) convert to degree measure.

i) 3o/4

ii) 2o /5

iii) 17o/3

iv) -15o

v) -5o/6

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4) List the 5 remaining trig functions for angle A. In which quadrant is angle A?
(make a diagram)

a) sin A = -3/5, cos A > 0	b) cot A = 7/2, sin A > 0
c) cos A = 4/5, tan A < 0	d) csc A = -9/5, cot A > 0

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5) Prove these identities

a) cot x + = csc x	b) 2 sin A + tan A =
c) (sin A + cos A)2 + (sin A - cos A)2 = 2

6) State the amplitude, period, phase shift, max and min, then graph

a) y = - 4 + 3 sin (4x + o)

b) y = 2 - 7 cos (3x - 2o)

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7) Graph one cycle of

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Images for Exact Values

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the unit circle

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Trig MathRoom Index

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(all content of the MathRoom Lessons © Tammy the Tutor; 2002 - 2005).