Two posts are x metres apart and the height of one is double that of the other. If from the mid point of the line Joining their feet, an observer finds the angular elevations of their tops to be complementary. then the height (in metres) of the shorter post is
1). $\frac{x}{2\sqrt{2}}$
2). $\frac{x}{4}$
3). $x\sqrt{2}$
4). $\frac{x}{\sqrt{2}}$
2. If A is an acute angle and cot A + cosec A = 3, then the value of sin A is
3. If cos A + sin A = $\sqrt{2} cos A$ , then cos A - sin A is equal to : (where $0^{0} < A < 90^{0}$)
7. Find the Minimum Value of \({\bf{sec}}{\;^2}{\bf{x}}\; + \;{\bf{cosec}}{\;^2}{\bf{x}}\)
8. The point equidistant from the vertices of a triangle is called its
9. If $\frac{\left(tanA + tanB\right)}{1-tanAtanB}$ = x, then the value of x is
10. If α + β = 90°, then the value of (1 - sin2α) (1 - cos2α) × (1 + cot2β) (1 + tan2β) is∶