Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\sin (x+30)= \frac{ \sqrt{ 3 } }{ 2 }$$

Answer

x=sequence(2*PI*n+PI/3-30,in(n,Z)),sequence(2*PI*n+(2*PI)/3-30,in(n,Z))

Solution


Ask: What values of \(x+30\) will make \(\sin{(x+30)}\) equal \(\frac{\sqrt{3}}{2}\)?
\[x+30=\frac{\pi }{3},\frac{2\pi }{3}\]
Since sin is a periodic function, add the periodicity.
\[\begin{aligned}&x+30=2\pi n+\frac{\pi }{3},n \in Z\\&x+30=2\pi n+\frac{2\pi }{3},n \in Z\end{aligned}\]
Solve for \(x\).
\[\begin{aligned}&x=2\pi n+\frac{\pi }{3}-30,n \in Z\\&x=2\pi n+\frac{2\pi }{3}-30,n \in Z\end{aligned}\]
[email protected]
Privacy Policy | Terms & Conditions
Contact Us