Class 11 Mathematics

1. The radian measure corresponding to 25° is:

• A. 5π/36
• B. 25π/180
• C. 5π/12
• D. 5π/18

2. The degree measure corresponding to 11/16 radians is approximately:

• A. 39° 22' 30"
• B. 39° 20' 15"
• C. 40° 20'
• D. 38° 22' 30"

3. A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

• A. 12π
• B. 6π
• C. 24π
• D. 2π

4. The value of sin(765°) is:

• A. 1/√2
• B. 1/2
• C. √3/2
• D. 0

5. The value of cosec(-1410°) is:

• A. 2
• B. -2
• C. 1
• D. -1

6. The value of tan(19π/3) is:

• A. √3
• B. 1/√3
• C. -√3
• D. 1

7. If cos x = -1/2 and x lies in the third quadrant, then value of sin x is:

• A. -√3/2
• B. √3/2
• C. -1/2
• D. 1/2

8. The value of cos 15° is:

• A. (√3 + 1) / (2√2)
• B. (√3 - 1) / (2√2)
• C. 1 / (2√2)
• D. (√3 + 1) / 2

9. The value of sin 15° is:

• A. (√3 - 1) / (2√2)
• B. (√3 + 1) / (2√2)
• C. (1 - √3) / (2√2)
• D. 1 / (2√2)

10. The value of tan 75° is:

• A. 2 + √3
• B. 2 - √3
• C. √3 + 1
• D. √3 - 1

11. The value of sin(A + B) sin(A - B) is equal to:

• A. sin² A - sin² B
• B. cos² A - cos² B
• C. sin² A + sin² B
• D. cos² A - sin² B

12. The value of cos(A + B) cos(A - B) is equal to:

• A. cos² A - sin² B
• B. cos² A - cos² B
• C. sin² A - sin² B
• D. cos² A + cos² B

13. The value of cos 2x in terms of tan x is:

• A. (1 - tan² x) / (1 + tan² x)
• B. (2 tan x) / (1 + tan² x)
• C. (2 tan x) / (1 - tan² x)
• D. (1 + tan² x) / (1 - tan² x)

14. The value of sin 2x in terms of tan x is:

• A. (2 tan x) / (1 + tan² x)
• B. (2 tan x) / (1 - tan² x)
• C. (1 - tan² x) / (1 + tan² x)
• D. (tan x) / (1 + tan² x)

15. The value of tan 2x is equal to:

• A. (2 tan x) / (1 - tan² x)
• B. (2 tan x) / (1 + tan² x)
• C. (1 - tan² x) / (2 tan x)
• D. (1 + tan² x) / (2 tan x)

16. The range of the function f(x) = sin x is:

• A. [-1, 1]
• B. (-1, 1)
• C. [0, 1]
• D. R

17. The domain of the function f(x) = tan x is:

• A. R - {(2n + 1)π/2 : n ∈ Z}
• B. R
• C. R - {nπ : n ∈ Z}
• D. [-1, 1]

18. The principal solutions of tan x = -1/√3 are:

• A. 5π/6 and 11π/6
• B. π/6 and 7π/6
• C. 2π/3 and 5π/3
• D. π/3 and 4π/3

19. The maximum value of 3 sin x + 4 cos x is:

• A. 5
• B. 7
• C. 1
• D. 12

20. The principal value of sin x = 1/2 is:

• A. π/6
• B. π/3
• C. π/4
• D. 2π/3

21. The value of sin 3x is equal to:

• A. 3 sin x - 4 sin³ x
• B. 4 sin³ x - 3 sin x
• C. 3 sin x + 4 sin³ x
• D. 4 sin x - 3 sin³ x

22. The value of cos 3x is equal to:

• A. 4 cos³ x - 3 cos x
• B. 3 cos x - 4 cos³ x
• C. 3 cos x + 4 cos³ x
• D. 4 cos x - 3 cos³ x

23. The value of cos(π/2 + x) is:

• A. -sin x
• B. sin x
• C. -cos x
• D. cos x

24. The value of sin(π - x) is:

• A. sin x
• B. -sin x
• C. cos x
• D. -cos x

25. The value of cos(-x) is:

• A. cos x
• B. -cos x
• C. sin x
• D. -sin x

26. The value of sin(-x) is:

• A. -sin x
• B. sin x
• C. cos x
• D. -cos x

27. The value of (cos x - cos y) is equal to:

• A. -2 sin((x + y)/2) sin((x - y)/2)
• B. 2 cos((x + y)/2) cos((x - y)/2)
• C. 2 sin((x + y)/2) cos((x - y)/2)
• D. -2 cos((x + y)/2) sin((x - y)/2)

28. The period of the function f(x) = sin(2x) is:

• A. π
• B. 2π
• C. π/2
• D. 4π

29. If sin x + cosec x = 2, then value of sin² x + cosec² x is:

• A. 2
• B. 4
• C. 1
• D. 0

30. The value of sin(π/2 - x) is:

• A. cos x
• B. -cos x
• C. sin x
• D. -sin x