Page 1 - Worksheet

CH-3 TRIGONOMETRY WORK SHEET

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1. The value of cos(-1710 ) is
1
(a) 1 (b) 0 (c) (d) -1
2
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2. The radian measure of 40 20’ is
(a) 12π (b) 151π (c) 121π (d) 131π
520 520 540 540
1 1
3. If tanθ = and tanφ = then θ + φ is
2 3
π π
(a) (b) π (c) (d) 0
6 4
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4. The value of tan1 tan2 tan3 ⋯ ⋯ ⋯ tan89 is
1
(a) 0 (b) 1 (c) (d) not defined
2
5. If sinθ + cosθ = 1 the the value of sin2θ is
(a) 1 (b) 4 (c) 2 (d) 0
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6. The value of sin15 is ⋯ ⋯ ⋯
7. If cotθ + tanθ = 2cosecθ then the general value of θ is ⋯ ⋯ ⋯
13π
8. Find the value of tan
12
π
9. Solve: tan2x = − cot (x + )
3
5
10. If cotx = − , x lies in the second quadrant, find the values of other trigonometric
12
functions.
11. Prove that tan3xtan2xtanx = tan3x − tan2x − tanx
2
12. Solve : 2cos x + 3sinx = 0
1−m
13. If cos(θ + φ) = mcos(θ − φ)then prove that tanθ = cotφ
1+m
14. Find the general solution of the equation sinx − 3sin2x + sin3x = cosx − 3cos2x +

cos3x