In ∆ABC, if a = 18, b = 24 and c = 30 and ∠ C = 90 o , find sin A, sin B and sin C.

Question

Philoid · Accepted Answer

Let a, b, c be the sides of the given triangle. Then by applying the sine rule, we get

Now substituting the given values we get

Similarly,

Now substituting the given values we get

And given ∠C = 90°, so sin C = sin 90° = 1.

Hence the values of sin A, sin B, sin C are respectively