Trigonometry assignment

SHRI ANAND EDUCATION
EAST SAGARPUR NEW DELHI


TRIGONOMETRY ASSIGNMENT
Class 10 - Mathematics
Time Allowed: 5 hours Maximum Marks: 175

1. If X sin3θ + Y cos3θ = sinθ cosθ and X sinθ = Y cosθ , then ________. [1]

a) X4 + Y4 = 1 b) X2 + Y2 = 1




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c) X2 - Y2 = 1 d) X3 + Y3 = 1




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2. (cos4A - sin4A) on simplification, gives [1]

a) 2 cos2A - 1 b) 2 sin2A + 1




a
c) 2 sin2A - 1 d) 2 cos2A + 1




uc
3. If (tan θ + cot θ ) = 5 then (tan2 θ + cot2 θ ) = ? [1]

a) 23 b) 25
Ed
c) 24 d) 27
4. If 16 cot x = 12, the sin x−cos x

sin x+cos x
equals. [1]
nd

a) 2

7
b) 3

7



c) 0 d) 1

7
na


–
5. If 2 sin 2θ = √3 then θ = ? [1]

a) 45° b) 90°
ri A




c) 60° d) 30°
6. If 2 tan A = 3, then the value of 4 sin A+3 cos A
is [1]
4 sin A−3 cos A



a) 3 b) does not exist
Sh




c) 7
d) 1

√13 √13

3

7. If 3 cos θ = 5 sin θ , then the value of
5 sin θ−2 sec

3
θ+2 cos θ
is [1]
5 sin θ+2 sec θ−2 cos θ



a) 542

2937
b) 271

979



c) d)
322 316

2657 2937



8. If sinθ = cosθ , then 2 tan2θ + sin2θ - 1 = ________. [1]

a) b)
2 −2

3 3



c) 3

2
d) −3

2



9. If sec θ + tan θ = x, the value of sec θ is [1]
2

a) 1

2
(x −
1

x
) b) x −1

2
x +1




1/4