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
The maximum value of Sinθ Cosθ is
1
0
-1/2
1/2
Sin 2 θ
Cos 2θ
Cosec 2 θ
Sec 2 θ
The value of sin A sin (60o-A) sin (60o +A) is equal to
Sin 3 A
None of these
If tan A = - 1/2 and tan B = - 1/3, then A+B =
∏/4
3 ∏/4
5∏/4
The value of Cos2 A ( 3-4 cos2 A)2 + sin2 A ( 3-4 sin2A)2 =
Cos 4 A
sin 4A
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 minimum value of 5 sin2θ + 4 cos2θ is
2
3
4
The maximum value 3 cos θ + 4 sin θ is
5
The value of cot (45o + θ) cot (45o - θ) is:
-1
∞
