Introduction to...

If $$\displaystyle \tan\theta=p-\frac{1}{4p}$$, then $$ \sec\theta-\tan\theta=$$

If $$a=x\cos^{2}A+y\sin^{2}A$$, then $$(x-a)(y-a)+(x-y)^{2}\sin^{2}A\cos^{2}A$$ is equal to:

$$\tan A=a\tan B, \displaystyle \sin A=b\sin B\Rightarrow\frac{b^{2}-1}{a^2-1}$$ is equal to

If $$\tan \theta +\cot \theta =3$$, then $$\tan^{4}\theta+\cot^{4}\theta=$$

If $$\sqrt{\sin x}+\cos x=0$$, then $$\sin x=$$

If $$x=\tan\theta+\cot\theta, y=\cos\theta-\sin\theta$$, then which of the following is true?

$$\cos A=a\cos B,\sin A=b\sin B\Rightarrow (b^{2}-a^{2})\sin^{2}B=$$

If $$\displaystyle \cot\theta=3x-\frac{1}{12{x}}$$, then $$\csc \theta-\cot \theta$$ is equal to

Eiminate $$\theta$$ from $$ x= 1+\tan\theta,y= 2+\cot\theta$$

If $$\cos\theta+\sin\theta=\sqrt{2}\cos\theta$$, then $$\cos\theta-\sin\theta=$$ _____