Embibe Experts Solutions for Chapter: Trigonometry, Exercise 1: Exercise

Evaluate $\sin 15°.\sec 75°$

Prove that $\left(\frac{\mathrm{secA}-1}{\mathrm{secA}+1}\right)=\left(\frac{1-\mathrm{cosA}}{1+\mathrm{cosA}}\right)$

Identify "Hypotenuse", "opposite side", and "Adjacent side" for the angle $R$ in the given triangle.

Identify "Hypotenuse", "opposite side", and "Adjacent side" for the angle $X$ in the given triangle.

Prove that ${\left(\mathrm{sinA}+\mathrm{cosecA}\right)}^2+{\left(\mathrm{cosA}+\mathrm{secA}\right)}^2=7+{\tan }^2\mathrm{A}+{\cot }^2\mathrm{A}$

If $\mathrm{secA}+\mathrm{tanA}=\frac{1}{5}$, then $\mathrm{secA}-\mathrm{tanA}=$_____

$\left({\sec }^2\mathrm{\theta }-1\right)\left({\mathrm{cosec}}^2\mathrm{\theta }-1\right)=$_____

If $\cos \theta =\frac{3}{5}$, then $\sin \theta =$_____