Differentiating the given determinant w. r. t. θ we get
= 0 + 0 = 0
where f (θ) denotes the given determinant
⇒ f (θ) is independent of θ.
Expanding the determinant along last column we get
Which is independent of θ.
If the value of
Is equal to k2, then k is equal to
is equal to
of k is equal to
If A and B are acute positive angles satisfying the equation 3 sin2 A + 2 sin2B = 1 and 3 sin 2A – 2 sin2B = 0, then A + 2B is equal to
If θ and ∅ are acute angles such that sin θ = 1/2 and cos ∅ = 1/3 and cos ∅ = 1/3, then θ + ∅ lies in