Page 20 - 11-Math-9 Fundamentals of Trigonometry

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2. Fill in the blanks: ii) cos(-75) =.... cos 75
i) sin(-310) =.... sin 310

iii) tan(-182) =.... tan 182 iv) cot(-173) =.... cot137

v) sec (-216) =... sec 216 vi) cosec(-15) =... cosec 15

3 . In which quadrant are the terminal arms of the angle lie when
i) sin q < 0 and cos q > 0, ii) cot q > 0 and cosec q > 0,

iii) tan q < 0 and cos q > 0, iv) sec q < 0 and sin q < 0,
v) cot q > 0 and sin q < 0, vi) cos q < 0 and tan q < 0?
4 . Find the values of the remaining trigonometric functions:

i) sin q = 12 and the terminal arm of the angle is in quad. I.
13

ii) cos q = 9 and the terminal arm of the angle is in quad. IV.
41

iii) cos q = - 3 and the terminal arm of the angle is in quad. III.
2

iv) tan = - and the terminal arm of the angle is in quad. II.

v) sin q = - 1 and the terminal arm of the angle is not in quad. III.
2

5. Find cot q = 15 and the terminal arm of the angle is not is quad. I, find the values of
8

cos q and cosec q .

6. If cosec q = m2 + 1 and m 0  0 < q < π  , find the values of the remaining trigonometric
2m  2 

version: 1.1

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