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# Class-9 Trigonometry Worksheet 3

1. From the below given figure, find the value of:

a) Sin A                        b) Cot A
c) Cos C                      d) Sin2A + Cos2A

2. If 3 Tan A = 4, then find the value of:

a) Cos A                     b) Cosec A
c) Sec A − Tan A        d) Sec2A − 1Cot2A

3. From the below given figure, if Sin α = 1213 and Cos β = 35 then find the length of AD.

4. If Sin θ = 1213 and θ is less than 90o, find the value of Cot θ + Tan θ.

5. If Tan θ = 512, find the value of Cos θ + Cosec θ.

6. If 5 Sin θ = 4, find the value of (1+Cosθ)(1−Cosθ).

7. If 5 Tan θ = 12, find the value of (5Sinθ−3Cosθ)(5Sinθ+2Cosθ).

8. If 5 Tan θ = 4, find the value of (5Sinθ−3Cosθ)(5Sinθ+2Cosθ).

9. If 13 Cos A = 12 and angle A is acute, find the value of (5SinA−2CosA)Tan A.

10. If 5 Cos θ − 12 Sin θ = 0, then find the value of (Sin θ + Cos θ)(2 Cos θ − Sin θ).

11. In a right-angled triangle ABC, ∠A = 90o. If AB = 7 cm and BC − AC = 1 cm, then find:

a) Cosec C                    b) Cot B

12. In a right-angled triangle ABC, ∠B = 90o. If AB = 40 cm and AC + BC = 50 cm, then find:

a) Cos A                     b) Tan C

13. If 4 Sin θ = 3 Cos θ, then find:

a) Cot2 θ − Cosec2 θ
b) 4 Cos2 θ − 3 Sin2 θ + 2

14. Find the value of:

a) Sin2 60o + Cos2 30o
b) Sin 30o Cos 60o
c) Cosec2 60o − Tan2 30o
d) Sin2 60o + Cosec2 30o + Tan2 45o

15. Find the value of:

a) Sin 60o Cos 30o + Sin 30o Cos 60o
b) Cos 30o Cos 60o − Sin 30o Sin 60o
c) Cosec2 45o − Cot2 45o
d) 3 Cosec2 60o − 2 Cot2 30o + Sec2 45o

16. If θ = 15o then find the value of (Cos 3θ − 2 Cos 4θ)(Sin 3θ + 2 Sin 4θ).

17. If p = 30o, then find the value of 4 Cos3 p − 3 Cos p.

18. If q = 30o, then find the value of 4 Cos q × Cos (60o − q) × Cos (60o + q).

19. Find the value of A:

a) Sin 3A = 32                b) 2 Sin 3A = 2
c) Tan 3A = 1                    d) Not defined

20. Find the value of q:

a) 2 Sin 3q − 1 = 0
b) Sin (q + 10o) = 12
c) 2 Sec (3q − 15o) = 4
d) Sin2 q + Sin2 30o = 1

Trigonometry Worksheet - 1

Trigonometry Worksheet - 2

Trigonometry Worksheet - 3