Question

If $\text{cosec}\theta =\sec \theta$, then value of $\theta$ is

• A. $0^{\circ }$
• B. ${45}^{\circ }$
• C. ${90}^{\circ }$
• D. ${30}^{\circ }$

Answer 1

The correct option is B ${45}^{\circ }$

It is given that $\text{cosec}\theta =\sec \theta$

We know $\text{cosec}{45}^o=\sqrt{2}$ and $\sec {45}^o=\sqrt{2}$

This values are equal at ${45}^o$.

So, $\theta$ $=45$ ${}^o$

So, option B is correct.