Question

If $sin\theta =\frac{1}{\sqrt{2}}$. find all other trigonometric ratios of angle $\theta$

Answer 1

Given : $\sin \theta =\frac{1}{\sqrt{2}}$

We know that $\sin \theta =\frac{1}{\sqrt{2}}$

Therefore, $\theta ={45}^{\circ }$

$\cos \theta =cos{45}^0=\frac{1}{\sqrt{2}}$

$\tan \theta =tan{45}^0=1$

$\cot \theta =cot{45}^0=1$

$\sec \theta =sec{45}^0=\sqrt{2}$

$cosec\theta =cosec{45}^0=\sqrt{2}$