Let the equation sec x.cosec x = p have a solution, where p is a positive real number. What should be the smallest value of p? 

For what value of θ, where 0 < θ < $\frac{\pi}{2}$, does sin θ + sin θ cos θ maximum value?

Let ABC be a triangle. If cos2A + cos2B + cos2C = -1 then which one of the following is correct?

If $\tan A=\dfrac{1}{7}$, then what is cos 2A equal to?