If PA and PB are two tangents to a circle with centre O such that $\angle\ APB= 80^{0} then, \angle\ AOP=$
1). $40^{0}$
2). $50^{0}$
3). $60^{0}$
4). $70^{0}$
4. If $\theta +\phi$ = $\frac{\pi}{2}$ and $sin\theta$ = $\frac{1}{2}$ ,then the value of $sin\phi$ is
6. If 2ycos θ = x sin θ and 2xsec θ – y cosec θ = 3, then the value of x2 + 4y2 is
7. If \({\cos ^4}\theta - {\sin ^4}\theta = \frac{2}{3}\), then the value of 1 – 2 sin2θ is
8. If cos 65° + cos 55° = cos θ, find θ in radians