Question

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

Answer 1

Since the sine ratio is opposite side/hypotenuse

Then in

`\sin (\sin ^(-1)(3)/(8))`

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

Then use this rule to evaluate without a calculator

`\sin (\sin ^(-1)(a)/(b))=(a)/(b)`

Because sin will cancel sin^-1

`\sin (\sin ^(-1)(3)/(8))=(3)/(8)`

The answer is 3/8