Question

How do I solve this? What does it mean by satisfying this equation?

Answer 1

Given:

`\begin{gathered} sin\theta=(1)/(√(2)) \\ \theta=(\pi)/(4) \end{gathered}`

Find: the another equivalent value of

`\theta`

Explanation:

`\begin{gathered} sin(\pi)/(4)=(1)/(√(2)) \\ sin(\pi-(\pi)/(4))=(1)/(√(2)) \\ sin(4\pi-\pi)/(4)=(1)/(√(2)) \\ sin(3\pi)/(4)=(1)/(√(2)) \end{gathered}`

Final answer: The required answer is

`(3\pi)/(4)`