Multiplying both sides of the above equations by r, we get that x = r cos(θ) and y = r sin(θ).

Question

Revolt · Accepted Answer

✔ definition of cosine; By , cos(θ) = , and by , sin(θ) = .: definition of cosine; By , cos(θ) = , and by , sin(θ) = .: definition of sine; The states that x2 + y2 = r2.: Pythagorean theorem; By , we have[r cos(θ)]2 + [r sin(θ)]2 = r2.: substitution; Applying the , the equation can be written as r2 cos2(θ) + r2 sin2(θ) = r2.: laws of exponents

Angles and Trigonometric Functions

Multiplying both sides of the above equations by r, we get that x = r cos(θ) and y = r sin(θ).

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