ECAT Mathematics Inverse Trigonometric Functions Online Test

ECAT Math Inverse Trigonometric Functions

ECAT Math Inverse Trigonometric Functions Chapter Online Test

Total Questions: 55
Time Allowed: 20 Minutes
Total Marks: 55
How to Attempt Test: Please choose the right Option in MCQ-type question.
Test Helpful For: ECAT Entry Test
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1. tan⁻¹(1/4) + tan⁻¹(2/9) is equal to

2. Sin⁻¹{2A√1 – A²}

3. One root of the equation cos x – x + ½ = 0 lies in the interval

4. Tan⁻¹ A + Tan⁻¹ (1–A/1+A)

5.

6. The solution set of the system of equation: x – y = 2π/3, cos x + cos y = 2/3, where x and y are real in:

7. The general solution of tan 3x = 1 is

8. The principal cosine function is

9. The equation 2 cos²(x/2) sin²x = x² + 1/x² 0 ≤ x ≤ π/2 has

10. Tan⁻¹(3A – A³/1 – 3A²)

11. The number of solutions of the equation tan x + sec x = 2 cos lying the interval [0, 2π] is

12. Tan⁻¹ A + Tan⁻¹ B =

13. If 5 cos 2 θ + 2 cos² θ/2 + 1 = 0, - π < θ < π, then θ =

14. The domain of principal sine function is

15. Range of cosec⁻¹x is

16. cot θ = sin 2 θ (θ ≠ nπ, n integer) if θ =

17.

18. For n ϵ Z, the general solution of the equation (√3 – 1)sin θ + (√3 + 1) cos θ = 2 is

19. Tan⁻¹ A – Tan⁻¹ B =

20. If 4 sin² θ = 1, then values of θ are

21. Tan⁻¹ A + Tan⁻¹ B + Tan⁻¹ C =

22. If sin A = sin B, cos A = cos B, then the value of A in terms of B is

23. Tan⁻¹ 1/3 + Tan⁻¹ 1/5 + Tan⁻¹ 1/7 + Tan⁻¹ 1/8

24. Tan⁻¹ (2A/1 – A²) =

25. The domain of principal cosine function is


 

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