Question

If $y=sin\theta$, then for what value of $\theta$, the relative error in y is minimum?

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

Answer 1

The correct option is A ${90}^0$

$y=sin\theta$. . . . . . . . . . . . (1)

Differentiate with respect to $\theta$

$\frac{dy}{d\theta }=cos\theta$

For minimum , $\frac{dy}{d\theta }=0$

$cos\theta =0$

$\theta ={90}^0$

The correct option is A.