Maharashtra Board Solutions for Chapter: Trigonometry, Exercise 2: Practice set 8.2

Express the value of $5\sin 30°+3\tan 45°$ in the form of $\frac{a}{b}$.

Express the value of $\frac{4}{5}{\tan }^2 60°+3{\sin }^2 60°$ in the form of $\frac{a}{b}$.

Evaluate $2\sin 30°+\cos 0°+3\sin 90°$

Find the value of $\frac{\tan 60°}{\sin 60°+\cos 60°}$.

Express the value of ${\cos }^{2}45°+{\sin }^{2}30°$ in the form of $\frac{a}{b}$.

The values of $\cos 60°\times \cos 30°+\sin 60°\times \sin 30°$ is $\frac{\sqrt{k}}{2}$. Find $k$.

If $\sin \theta =\frac{4}{5}$ then find $\cos \theta$.

If $\cos \theta =\frac{15}{17}$ then find $\sin \theta$.