Question

Circuit Training If sin0 =1 and 0 <0< π find 0.

Answer 1

Answer:

$\theta = \frac{\pi}{2}$

Step-by-step explanation:

Given

$\sin(\theta) = 1$

$0 < \theta < \pi$

Required

Find $\theta$

$0 < \theta < \pi$ implies that $\theta$ is between 0 and 180 degrees

$\sin(\theta) = 1$

Take arcsin of both sides

$\theta = sin^{-1}(1)$

This gives:

$\theta = \frac{\pi}{2}$

Convert to degrees

$\theta = \frac{\pi}{2} * \frac{180}{\pi}$

$\theta = 90$

We have:

$0 < \theta < \pi$ or $0 < \theta < 180$

To get other values of $\theta$

We use:

$\sin(\theta) = \sin(180 - \theta)$

Substitute: $\theta = 90$

$\sin(90) = \sin(180 - 90)$

$\sin(90) = \sin(90)$

This means that there are no other values of $\theta$ in the given range