Solve the following equation in the interval [0, 2 π]. Note: Give the answer as a multiple of π. Do not use decimal numbers. The answer should be a fraction or an integer. Note that π is already included in the answer so you just have to enter the appropriate multiple. E.g. if the answer is π/2 you should enter 1/2. If there is more than one answer enter them separated by commas. (sin(t))^2=3/4
Question
Answer:
[tex]\bf [sin(t)]^2=\cfrac{3}{4}\implies sin^2(t)=\cfrac{3}{4}\implies sin(t)=\pm\sqrt{\cfrac{3}{4}}
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sin(t)=\pm\cfrac{\sqrt{3}}{\sqrt{4}}\implies sin(t)=\pm\cfrac{\sqrt{3}}{2}\implies \measuredangle t=
\begin{cases}
\frac{\pi }{3}\\\\
\frac{2\pi }{3}\\\\
\frac{4\pi }{3}\\\\
\frac{5\pi }{3}
\end{cases}[/tex]
solved
general
10 months ago
4612