From the top of a cliff the angles of depression of two boats in the same vertical plane at the observer’s eye are 30° and 45°. If the distance between the boats is 100 m, find the height of the cliff.
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2. Solve for side b of a right spherical triangle ABC whose parts are a = 46°, c = 75° and C = 90°.
3. By expressing cos 113° in terms of trigonometrical ratios, answer will be
5. What is the simplified value of (cosec A + sin A)(cosec A - sin A)?
7. If $sec\theta + tan\theta$ = p, $(p\neq 0)$ then $sec\theta$ is equal to
8. 1 + cot²2θ =
9. The value of cos1° sin89° + cos2° sin88° + cos3° sin87° + …. + cos89° sin1°, is
10. If $\frac{secA}{(secA - 1)} + \frac{secA}{(secA + 1)} = x$, then x is