Embibe Experts Solutions for Chapter: Trigonometric Ratios and Identities, Exercise 1: Exercise 1

If $A+B=90°,$ then what is the value of $\sqrt{\sin A\sec B-\sin A\cos B} ?$

If $A=\left(\cos 12°-\cos 36°\right)\left(\sin 96°+\sin 24°\right)$ and $B=\left(\sin 60°-\sin 12°\right)\left(\cos 48°-\cos 72°\right),$ then what is $\frac{A}{B}$ equal to ? 

If $\sin \theta +2\cos \theta =1,$ then what is $2\sin \theta -\cos \theta$ equal to$?$

What is the value of $\left({\sin }^4\theta -{\cos }^4\theta +1\right){cosec}^2\theta ?$

What is $\tan 15°$ equal to$?$

If $\cos x=\frac{1}{3}$, then what is $\sin x·\cot x·cosecx·\tan x$ equal to$?$

What is $\cos 20°+\cos 100°+\cos 140°$ equal to$?$

What is the value of $\frac{1+\sin A}{1-\sin A}-\frac{1-\sin A}{1+\sin A}?$