Question

If $sin\Theta =cos\Theta$, then the value of cosec$\Theta$ is :

• A. 2
• B. 1
• C. $\frac{2}{\sqrt{3}}$
• D. $\sqrt{2}$

Answer 1

Answer: (D)

$\sqrt{2}$

$\sin \theta =\cos \theta$ , it is possible only when $\theta ={45}^0.$ Because $\sin {45}^0=\cos {45}^0=\frac{1}{\sqrt{2}}$

$\therefore cosec{45}^0=\sqrt{2}.$

Hence, the answer is $\sqrt{2}.$