60
Minutes
30
Questions
4 / -1
Marking
Q1. If sinθ + cosecθ = 2, then sin²θ + cosec²θ is equal to
1
4
2
None of these
Q2. If f(x) = cos² x + sec² x, then
f(x) < 1
f(x) = 1
2 < f(x) < 1
f(x) ≥ 2
Q3. If tanθ
= 1/2 , and tanx
= 1/3, then the value of θ
π/6
π
0
π/4
Q4. Which of the following is not correct?
sin θ = -1/5
cos θ = 1
sec θ = 1/2
tan θ = 20
Q5. The value of tan 1° tan 2° tan 3° ... tan 89° is
0
1
1/2
Not defined
Q6. The value of is
1
√3
√3/2
2
Q7. The value of cos 1º cos 2º cos 3° ... cos 179° is
1/√2
0
1
-1
Q8. If tan θ = 3 and θ lies in third quadrant, then the value of sin θ is
1/√10
-1/√10
-3/√10
3/√10
Q9. The value of tan 75° – cot 75° is equal to
2√3
2+√3
2-√3
1
Q10. Which of the following is correct?
sin1°> sin 1
sin 1°< sin 1
sin 1° = sin 1
sin 1° = (π/180) sin 1
Q11. If , , then α + β is equal to
π/2
π/3
π/6
π/4
Q12. The minimum value of 3 cosx + 4 sinx + 8 is
5
9
7
3
Q13. The value of tan 3A – tan 2A – tan A is equal to
tan 3A tan 2A tan A
– tan 3A tan 2A tan A
tan A tan 2A – tan 2A tan 3A – tan 3A tan A
None of these
Q14. The value of sin (45° + θ) − cos (45° – θ) is
2 cosθ
2 sinθ
1
0
Q15. The value of cot (π/4 + θ) cot (π/4 – θ) is
-1
0
1
Not defined
...and 15 more challenging questions available in the interactive simulator.