Question

If y=sin x then at x=(pi)/(2) quad y_(2) is equal to​

Answer 1

If $y=\sin x$ then at $x=\frac{\pi}{2}$, $\boxed{y^2=1}$

Step-by-step explanation:

Given:

$y=\sin x$

To find out:

The value of $y^2$ at $x=\frac{\pi}{2}$

Solution:

We know that

$\sin\frac{\pi}{2}=1$

Given

$y=\sin x$

Squaring both the sides

$y^2=\sin^2 x$

Thus

$y^2\Bigr|_{x=\pi/2}=\sin^2\frac{\pi}{2}$

$\implies y^2\Bigr|_{x=\pi/2}=(\sin\frac{\pi}{2})^2$

$\implies y^2\Bigr|_{x=\pi/2}=(1)^2$

$\implies y^2\Bigr|_{x=\pi/2}=1$

Hope this answer is helpful.

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Answer 2

Given :  y = sinx

To Find :   y₂  at x = π /2

Solution:

y = sinx

=> dy/dx = y₁ = Cosx

d²y/dx² = y₂ = - sinx

y₂   at x = π /2

= - sin (π /2)

= - 1

y₂  at x = π /2 = - 1 if y = sinx  

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