How do you find the values of $θ$ $theta$ given $sin θ = \frac{\sqrt{2}}{2}$ $sintheta=sqrt2/2$ ?

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How do you find the values of $θ$ $theta$ given $sin θ = \frac{\sqrt{2}}{2}$ $sintheta=sqrt2/2$ ?

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Answer 1 · 2016-12-26T01:00:01

I got $θ = 45^{\circ} and 135^{\circ}$ $theta=45^@ and 135^@$

Explanation:

We can use some trigonometry and geometry with a right isisceles triangle with short sides of length $1$ $1$ :
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but we know that this value could be repeated:

We get the same value for $θ = 135^{\circ}$ $theta=135^@$

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How do you find the values of $θ$ $theta$ given $sin θ = \frac{\sqrt{2}}{2}$ $sintheta=sqrt2/2$ ?

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How do you find the values of $θ$ $theta$ given $sin θ = \frac{\sqrt{2}}{2}$ $sintheta=sqrt2/2$ ?