Trigonometry (Part-2)

1. If 0⁰ < A, B < 45⁰, cos (A+B) = 24/25 and sin (A-B) = 15/17, then tan2A = ? [SSC CGL 06/03/2020 (Evening)]

(a) 0
(b) 1
(c) 416/87
(d) 213/4

Correct Answer: (c) 416/87

Solution:

2. If cos²θ - sin²θ = tan²θ, then which of the following is true? [SSC CPO 13/12/2019 (Evening)]

(a) cosθ cosθ = 1
(b) cosθ cosθ =√2
(c) cos²θ -sin²θ = cot²θ
(d) cos²θ - sin²θ = tan²θ

Correct Answer: (d) cos²θ - sin²θ = tan²θ

Solution:

3. everything between 0⁰ and 90⁰ For α'ᵢ s, (i = 1, 2, 3......20) it is given that sinα₁ + sinα₂ + sinα₃ .......... sinα₂₀ = 20. Find the value (in degrees) of (α₁ + α₂ + α₃...... α₂₀). [SSC CHSL 11/07/20219 (Morning)]

(a) 1800⁰
(b) 900⁰
(c) 0⁰
(d) 20⁰

Correct Answer: (a) 1800⁰

Solution:

4. For α and β both being acute angles, it is given that sin (α + β) = 1, cos (α - β) = 1/2. The values of α and β are : [SSC CHSL 10/07/2019 (Evening)]

(a) 75⁰ , 15⁰
(b) 45⁰ ,15⁰
(c) 75⁰ , 45⁰
(d) 60⁰ , 30⁰

Correct Answer: (a) 75⁰ , 15⁰

Solution:

5. If θ = 9⁰, then what is the value of cotθ. cot2θ. cot3θ. cot4θ. cot5θ. cot6θ. cot7θ. cot8θ. cot9θ ? [SSC CHSL 10/07/2019 (Evening)]

(a) √3 - 1
(b) 1
(c) √3
(d) 1/√3

Correct Answer: (b) 1

Solution:

6. Which among the following is an irrational quantity ? [SSC CHSL 10/07/2019 (Afternoon)]

(a) tan30⁰ . tan60⁰
(b) sin30⁰
(c) tan45⁰
(d) cos30⁰

Correct Answer: (d) cos30⁰

Solution:

7. Which among the following increase continuously in the range 0⁰ < θ < 90⁰ ? [SSC CHSL 09/07/2019 (Evening)]

(a) cotθ
(b) cosecθ
(c) tanθ
(d) cosθ

Correct Answer: (c) tanθ

Solution:

8. Simpilfy [SSC CHSL 05/07/2019 (Afternoon)]

(a) 1/16
(b) 1/4
(c) 1/2
(d) 1/8

Correct Answer: (c) 1/2

Solution:

9. Simplify [SSC CHSL 03/07/2019 ]

(a) Sinθ
(b) Cosecθ
(c) Secθ
(d) Cosθ

Correct Answer: (d) Cosθ

Solution:

10. Solve it [SSC CHSL 03/07/2019 (Morning)]

(a) Sinθ Cosθ
(b) tanθ
(c) Cotθ
(d) Cosecθ Secθ

Correct Answer: (c) Cotθ

Solution:

Trigonometry (Part-2)

1. If 0⁰ < A, B < 45⁰, cos (A+B) = 24/25 and sin (A-B) = 15/17, then tan2A = ? [SSC CGL 06/03/2020 (Evening)]

2. If cos²θ - sin²θ = tan²θ, then which of the following is true? [SSC CPO 13/12/2019 (Evening)]

3. everything between 0⁰ and 90⁰ For α'ᵢ s, (i = 1, 2, 3......20) it is given that sinα₁ + sinα₂ + sinα₃ .......... sinα₂₀ = 20. Find the value (in degrees) of (α₁ + α₂ + α₃...... α₂₀). [SSC CHSL 11/07/20219 (Morning)]

4. For α and β both being acute angles, it is given that sin (α + β) = 1, cos (α - β) = 1/2. The values of α and β are : [SSC CHSL 10/07/2019 (Evening)]

5. If θ = 9⁰, then what is the value of cotθ. cot2θ. cot3θ. cot4θ. cot5θ. cot6θ. cot7θ. cot8θ. cot9θ ? [SSC CHSL 10/07/2019 (Evening)]

6. Which among the following is an irrational quantity ? [SSC CHSL 10/07/2019 (Afternoon)]

7. Which among the following increase continuously in the range 0⁰ < θ < 90⁰ ? [SSC CHSL 09/07/2019 (Evening)]

8. Simpilfy [SSC CHSL 05/07/2019 (Afternoon)]

9. Simplify [SSC CHSL 03/07/2019 ]

10. Solve it [SSC CHSL 03/07/2019 (Morning)]

Related Posts