For the following questions answer them individually
If $$cotA+\frac{1}{cotA}=2$$, then $$\cot^{2}A+\frac{1}{\cot^{2}A}$$ is equal to
If $$f(x) = sin^{2} x + cosec^{2} x$$, then the minimum value of f(x) is
A car is travelling on a straight road leading to a tower. From a point at a distance of 500 m from the tower, as seen by the driver, the angle of elevation of the top of the tower is 30°. After driving towards the tower for 10 seconds, the angle of elevation of the top of the tower as seen by the driver is found to be 60°. Then the speed of the car is
If Θ is a positive acute angle and tan Θ+ cot Θ = 2, then the value of sec 0 is
The value of x in the following figure is
The angle of depression of a point from the top of a 200 m high tower is 45°. The distance of the point from the tower is
If $$sin θ + cos θ = \sqrt{2} sin (90^{\circ} - θ)$$, then cot θ is equal to
If A and B are positive acute angles such that sin (A — B) =1/2 and cos (A+ B) = 1/2 , then A and B are given by
If $$7 sin^{2} + 3 cos^{2} = 4$$, and θ is a positive acute angle, then tan θ is equal to
A wheel makes 360 revolutions in a minute. The number of radians through which it turns in one second is