Trigonometry (Part-4)

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

Total Questions: 50

11. Find the value of (cosecθ - sinθ) (secθ - cosθ) (tanθ + cotθ). [SSC CGL 25/09/2024 (1st Shift)]

Correct Answer: (c) 1
Solution:

12. If m + 5 = sec²A cosec²A (1 - cos²A) (1 - sin²A) + 5, then find the value of m: [SSC CGL 25/09/2024 (1st Shift)]

Correct Answer: (c) 1
Solution:

13. If cot²θ - 2cos²θ = 0, (0ᵒ < θ < 90ᵒ), then the value of θ is: [SSC CGL 25/09/204 (1st Shift)]

Correct Answer: (a) 45ᵒ
Solution:

14. If x = p secA cosB, Y = q secA sinB and z = r tanA, what is the value of the following expression? [SSC CGL 25/09/2024 (2nd Shift)]

x²/y² + y²/q² - z²/r²

Correct Answer: (a) 1
Solution:

15. Find the value of 3sin15ᵒ - 4sin³15ᵒ [SSC CGL 25/09/2024 (3rd Shift)]

Correct Answer: (c) 1/√2
Solution:

16. If secθ + tanθ = x, then find sinθ. [SSC CGL 25/09/2024 (3rd Shift)]

Correct Answer: (c)
Solution:

17. If (48° + k) is an acute angle and sin(48° + k) = cos13°, what is the value of k(in°) ? [SSC CGL (26/09/2024) (1st Shift)]

Correct Answer: (c) 29
Solution:

18. Evaluate the given expression. [SSC CGL 26/09/202 (1st Shift)]

Correct Answer: (c) 5
Solution:

19. If A is an acute angle and tanA + cotA = 2, find the value of 7tan⁸A - 6cot⁸A + 8sec⁸A. [SSC CGL 26/09/2024 (1st Shift)]

Correct Answer: (b) 17
Solution:

20. Simplify [SSC CGL 26/09/2024 (2nd Shift)]

Correct Answer: (a)
Solution: