Trigonometric F...

In a triangle ABC right angled at C, tan A and tan B satisfy the equation

What is $$\tan ( 360^o - A)$$?

Value of $$\theta (0 < \theta < 360^o )$$ which satisfy the equation $$ \text{cosec }\theta +2 =0$$ is:

Let [x] be the greatest integar function. Then the equation sinx = [1+ sinx] + [1 - cosx] has 

If $${\tan ^2}\theta  = 2\,{\tan ^2}\phi  + 1$$, then the value of $$\cos \,2\theta  + {\sin ^2}\phi \,is$$ is

If $$(1 - \cos A)/2 = x$$, then the value of $$x$$ is

The solution set of the equation $$4\sin \theta \cos \theta  - 2\cos \theta  - 2\sqrt 3 \sin \theta  + \sqrt 3  = 0$$ in the interval $$(0,2\pi )$$ is-

A minimum value of $$\sin{x}\cos{2x}$$ is-

If $$\cot\left( {a + \beta } \right) = 0,$$ then $$\sin\left( {a + 2\beta } \right)$$ can be 

Select write the most appropriate answer from the given alternative in each following questions:-
The principal solution of tan $$x=-\sqrt{3}$$ are: 

The solutions of the equation $$\sin x+3\sin 2x+\sin 3x=\cos x+3\cos 2x+\cos 3x$$ in the interval $$0\le x\le 2\pi$$, are