The value of \({sin\theta+cos\theta-1\over sin\theta-cos\theta+1}\times\)\({ tan^2\theta(cosec^2\theta-1)\over sec\theta-tan\theta}\) is :
Watch SolutionA vertical pole and a vertical tower are standing on the same level ground. Height of the pole is 10 metres. From the top of the pole the angle of elevation of the top of the tower and angle of depression of the foot of the tower are 60° and 30° respectively. The height of the tower is
Watch SolutionIf \(11 \sin^{2} \theta - \cos^{2} \theta + 4 \sin \theta - 4 = 0, 0^\circ < \theta < 90^\circ\), then what is the value of \(\frac{\cos 2\theta + \cot 2 \theta}{\sec 2 \theta - \tan 2 \theta}\) ?
Watch SolutionA man, a woman and a boy can complete a work in 3, 4 and 12 days, respectively. How many boys must assist one man and one woman to complete the same work in one day?
Watch SolutionIf \(sin α + csc α = tan{\pi\over 3}\), then the value of (sin3α + csc3α) is equal to:
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