If \(11 \sin^{2} \theta - \cos^{2} \theta + 4 \sin \theta - 4 = 0, 0^\circ < \theta < 90^\circ\), then what is the value of \(\frac{\cos 2\theta + \cot 2 \theta}{\sec 2 \theta - \tan 2 \theta}\) ?
If \((cos^2\theta-1)(1+tan^2\theta)+2tan^2\theta = 1\), \(0^0\leq\theta\leq90^0\) then \(\theta\) is :
If a pole of 12 m height caste a shadow of 4√3 m long on the ground then the sun's angle of elevation at that instant is
If tan A = 1/2 and tan B = 1/3, then the value of A + B is
A runs \(1 {2 \over 3}\) times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?