Chhattisgarh Board Solutions for Exercise 5: Exercise

Write the value of $\frac{1-{\tan }^{2}45°}{1+{\tan }^{2}45°}$

The value of $\frac{2 \tan 30°}{1-{\tan }^{2}30°}$ is $\sqrt{a}$, find the value of $a$.

Find the value of $k$ when $\cos 30°\cos 45°-\sin 30°\sin 45°=\frac{\left(\sqrt{3}-1\right)}{k\sqrt{k}}$

Write the value of $\mathrm{cosec}30°+\cot 45°$

The value of $\frac{\cot 60°}{\sec 30°-\tan 45°}$ is $a+\sqrt{b}$, find the value of $a+b$

Write the value of  $\tan 30°\sec 45°+\tan 60°\sec 30°$ upto two decimal places. Take $\sqrt{6}=2.43$

Check whether true or false:
${\sin }^{2}45°=1-{\cos }^{2}45°$.

Check whether true or false:
${\sin }^{2}60°+{\cos }^{2}60°=1$.