Introduction to...

If $$0 < A < \pi /2$$ the value of the expression $$\dfrac {tan A}{1-cot A}+\dfrac {cot A}{1-tan A}-sec A cosec A$$ is equal to

For all values of $$\alpha$$ the given expression is equal to:

If $$\displaystyle \tan A=1 $$ and $$\displaystyle \tan B=\sqrt{3}$$ evaluate:$$\displaystyle \cos A\cos B-\sin A\sin B$$

If $$cot\alpha+tan\alpha=m$$ and $$\dfrac {1}{cos\alpha}-cos\alpha=n$$, then

If $$\dfrac {2 \sin\alpha}{1+\cos\alpha+\sin\alpha}=y$$, then $$\dfrac {1-\cos\alpha+\sin\alpha}{1+\sin\alpha}$$ is equal to

If $$\sin x+\sin^2 x=1$$, then the value of $$\cos^{12}x+3 \cos^{10}x+3 \cos^8x+\cos^6x-1$$ is equal to

If $$\sec C$$ is $$\displaystyle \frac{m}{2\sqrt{2}}$$, then $$m$$ is: 

If $$\cos 1^o \cos 2^o \cos 3^o ... \cos {179}^o=x+1$$, then $$x$$ is equal to

In the following figure, cosec A is $$\displaystyle \frac{5}{m}$$, m is 

Find the value of : $$\cot^{2} C\, -\, \displaystyle \frac{1}{\sin^{2} C}$$.