Question

express the trigonometric ratios cosθ in terms of sinθ

Answer 1

Answer:

Express Sine in Terms of Tangent

Start with the ratio identity involving sine, cosine, and tangent, and multiply each side by cosine to get the sine alone on the left.

Replace cosine with its reciprocal function.

Solve the Pythagorean identity tan2θ + 1 = sec2θ for secant.

Replace the secant in the sine equation.