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Evaluate with no calculator sin(sin^-1(3/8))

Sagot :

Since the sine ratio is opposite side/hypotenuse

Then in

[tex]\sin (\sin ^{-1}\frac{3}{8})[/tex]

This means the angle has opposite side 3 and hypotenuse 8 in a right triangle

Then use this rule to evaluate without a calculator

[tex]\sin (\sin ^{-1}\frac{a}{b})=\frac{a}{b}[/tex]

Because sin will cancel sin^-1

[tex]\sin (\sin ^{-1}\frac{3}{8})=\frac{3}{8}[/tex]

The answer is 3/8