How do you find the exact value of sin−1(sin(7π4))?
7π4
Explanation:
sin−1x is the inverse of sinx and in general
∣∣ ∣∣¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯aaf−1(f(x))=xaa∣∣−−−−−−−−−−−−−−−−−
⇒sin−1(sin(7π4))=7π4
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