Trigonometric F...

The general solution of the trigonometric equation $$\tan^2 \theta = 1$$ is ______

The maximum value of $$\sin x_1 + 2 \sin x_2 + 3\sin x_3$$ is

If $$\log_{3} \sin x-\log_{3} \cos x-\log_{3} (1-\tan x)-\log_{3} (1+\tan x)=-1$$, the $$\tan 2x$$ is equal to 

If $$\sin^{4} \alpha +\cos^{4} \beta +2=4 \sin \alpha . \cos \beta, 0 \le \alpha , \beta \le \dfrac{\pi}{2}$$, then $$(\sin \alpha +\cos \beta)$$ is equal to 

If $$cos \theta=\dfrac{1}{2}\left(a+\dfrac{1}{a}\right)$$ then $$cos3\theta$$ in terms of $$'a'$$=

In $$ \Delta ABC, \, \sum \dfrac{a^2 sin (B - C)}{sin A} = $$

In $$\Delta ABC, \sum \, a \, sin (B - C) = $$

If $$A+B=90,\sin A=a, \sin B=b$$ then $$a^{2}+b^{2}=?$$

If $$\cos A + \cos B = 4 \sin^2 \left(\dfrac{C}{2}\right)$$ then triangle $$ABC$$, which relation holds good

In $$\triangle\ {ABC},\left(\cot\dfrac{A}{2}+\cot\dfrac{B}{2}\right)\left(a\sin^{2}\dfrac{B}{2}+b\sin^{2}\dfrac{A}{2}\right)=$$