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