Chhattisgarh Board Solutions for Exercise 9: Exercise – 3

Find the value of the following.

$\frac{\sin 37°}{2 \cos 53°}$

Find the value of the following.

$3 \sin 17°\sec 73°$

Find the value of the following:

$\sin 64°-\cos 26°$

Find the value of the following:

$3 \cos 80°\mathrm{cosec}10°+2 \cos 59°\mathrm{cosec}31°$

Find the value of the following:

$2\frac{\cos 67°}{\sin 23°}-\frac{\tan 40°}{\cot 50°}+\cos 0°$

Find the value of the following:

${\sin }^{2}35°+{\sin }^{2}55°$

Find the value of the following:

$\frac{5 \sin 35°}{\cos 55°}+\frac{\cos {\displaystyle 55}{\displaystyle °}}{2 \sin 35°}-2 \cos 60°$

Prove that:

$\sin 63° \cos 27°+\cos 63° \sin 27°=1$