If sin θ + cosec θ = 2, then sin2 θ + cosec2 θ is equal to
1
2
4
6
The value of cot (45o + θ) cot (45o - θ) is:
-1
0
∞
The value of x for the maximum value of√3 cos x + sin x, is
30o
45o
60o
90o
If tan A = - 1/2 and tan B = - 1/3, then A+B =
∏/4
3 ∏/∝
5∏/4
None of these
If sin θ + cos θ = m and sec θ + cosec θ = n, then n (m+1) (m-1) is equal to
m
n
2m
2n
The expression tan2∝+ cot2 ∝ is equal to
≥ 2
≤ 2
≥ -2
The value of 1+ cos 56o + cos 58o - cos 66o is equal to
2 cos 28o cos 29o cos 33o
4 cos 28o cos 29o cos 33o
4 cos 28o cos 29o sin 33o
2 cos 28o cos 29o sin 33o
The value of sin 20o sin 40o sin 60o sin 80o is equal to
-3/16
5/16
3/16
-5/16
If sin (∝ - β) = 1/2 and cos (∝ + β) = 1/2, where ∝ and β are positive acute angles, then:
∝ = 45o
β= 15o
∝= 15o, β = 45o
∝ = 60o, β = 15o
