Trigonometry (Part-7)

Trigonometry Table- Learn Sin Cos Tan Table, Trigonometric Ratio Value Chart -

Total Questions: 50

1. If A,B,C are the acute angles, such than tan (A + B - C) = 1/√3, cos (B + C - A) = 1/2 and sin (C + A - B) = 1/√2. The value of A + B +C will be equal to: [SSC CHSL 10/8/2023 (4th Shift)]

Correct Answer: (d) 135º
Solution:

2. Find the value of the following expression. [SSC CHSL 10/08/2023 (4th Shift)]

Correct Answer: (d) sin²Ø
Solution:

3. Let ABC be a right-angled triangle where ∠A = 90º and ∠C = 45º. Find the value of secC + sinC + secC. [SSC CHSL 11/08/2023 (1st Shift)]

Correct Answer: (c) 1 + √2
Solution:

4. If (4 sinθ + 5 cosθ) = 3, then the value of (4 cosθ - 5 sinθ) is: [SSC CHSL 11/08/2023 (1st Shift)]

Correct Answer: (b) 4√2
Solution:

5. Let ABC be a triangle right-angled at B. If tan A = 12/5, then find the values of cosecA and secA, respectively. [SSC CHSL 11/08/2023 (3rd Shift)]

Correct Answer: (b)
Solution:

6. If cosθ - sinθ = 0, then (sin⁸θ + cos⁸θ) is: [SSC CHSL 11/08/2023 (3rd Shift)]

Correct Answer: (a) 1/8
Solution:

7. Simplify the given expression. [SSC CHSL 11/08/2023 (4th Shift)]

Correct Answer: (d) 6
Solution:

8. Find the value of Sin47º Cos33º - Cos43º Sin57º. [SSC CHSL 14/08/2023 (2nd Shift)]

Correct Answer: (c) 0
Solution:

9. The value of- [SSC CHSL 14/08/2023 (3rd Shift)]

Correct Answer: (a) 2 secA
Solution:

10. Simplify the given expression. (1 + tan²A) (1 + cot²A) = ? [SSC CHSL 14/08/2023 (3rd Shift)]

Correct Answer: (b)
Solution: