Introduction to...

sin$$^{2}\theta$$ + cos$$^{2}\theta$$ = _____

The inverse of $$\sin\theta$$ is

If $$\tan^{2} 45^{\circ} - \cos^{2} 30^{\circ} = x \sin 45^{\circ} \cos 45^{\circ}$$, then $$x = $$

If $$\tan \theta = \dfrac {a}{b}$$, then $$\dfrac {a\sin \theta - b \cos \theta}{a \sin \theta + b \cos \theta} = .....$$

$$\dfrac {\cos (90 -\theta) \sec (90 - \theta)\tan \theta}{\text{cosec } (90 - \theta)\sin (90 - \theta) \cot (90 - \theta)} + \dfrac {\tan (90 - \theta)}{\cot \theta} = ......$$

$$\dfrac {1 + \tan^{2}A}{1 + \cot^{2}A} = $$ _____

If $$A + B = 90^o$$, then ......

The value of $$\cot 1^{\circ} \cot 2^{\circ} .... \cot 89^{\circ}$$ is .....

If $$\cot\theta = \dfrac{6}{8}$$ and $$\theta$$ is acute, what is the value of $$\text{cosec}\,\theta$$?

If $$\tan\theta$$ = $$\dfrac{6}{8}$$ and $$\theta$$ is acute, what is the value of $$\cos\theta$$?