Question

The principal solution of the equation sinx=1/2 will be​

Answer 1

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Answer 2

Answer:

The principal solution of the equation sinx=1/2 will be​   $x=n \pi+(-1)^{n} \frac{\pi}{6} \\&n \in Z\end{aligned}$

Step-by-step explanation:

We have:

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

The value of x satisfying $\sin x=\frac{1}{2} is \frac{\pi}{6}$

$\begin{aligned}&\therefore \sin x=\frac{1}{2} \\&\Rightarrow \sin x=\sin \frac{\pi}{6} \\&\Rightarrow x=n \pi+(-1)^{n} \frac{\pi}{6} \\&n \in Z\end{aligned}$

• The principal solution of the equation sinx=1/2 will be​  $x=n \pi+(-1)^{n} \frac{\pi}{6} \\&n \in Z\end{aligned}$.
• The set of integers, denoted Z, is formally defined as follows: Z = {..., -3, -2, -1, 0, 1, 2, 3,...}.