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Is anyone available to assist with a pre-calc problem? Thanks

Is anyone available to assist with a pre-calc problem? Thanks-example-1
User Fthiella
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1 Answer

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STEP - BY - STEP EXPLANATION

What to find?

The values of x.

Given:


sin^2x+sinx=0

Step 1

Factorize sinx.


sinx(sinx+1)=0

Step 2

Equate each to zero.


\begin{gathered} sinx=0 \\ \\ sinx+1=0 \\ \Rightarrow sinx=-1 \end{gathered}
\begin{gathered} sinx=0 \\ \Rightarrow x=2\pi n \\ \Rightarrow x=0,\text{ 2}\pi \end{gathered}
\begin{gathered} sinx=-1 \\ \Rightarrow x=(3\pi)/(2)+2\pi n \\ \\ x=(3\pi)/(2) \end{gathered}

ANSWER


x=0,\text{ 2}\pi,\text{ }(3\pi)/(2)

User TBI
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