Question

In ABC with the right angle at vertex C, sin(b)= (26)/8. What is sin(a)?

Answer 1

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.

Explanation:

Pythagorean theorem: a2 + b2 = c2.

Sines: sin A = a/c, sin B = b/c.

Cosines: cos A = b/c, cos B = a/c.

Tangents: tan A = a/b, tan B = b/a.