How do you find the sine, cosine, and tangent of an angle in a right triangle if only the lengths of the two legs (a and b) are known?

Answer 1

Jessica Daniels

To find the sine, cosine, and tangent of an angle in a right triangle with known legs a and b, first calculate the hypotenuse c using the Pythagorean theorem: c = √(a² + b²). Then, for angle θ opposite leg a, sine(θ) = a/c, cosine(θ) = b/c, and tangent(θ) = a/b.