Six Trigonometric functions

Question

Let P= (-5,7) be a point on the terminal side of an angle 0. find the exact value of the six trigonometric functions of 0.

Answer 1

Use pythagorean theorem to calculate r (the distance from P to the origin): r = √(x² + y²)

Then use the following definitions: sinΘ = y/r ; cscΘ = r/y ; cosΘ = x/r ; secΘ = r/x ; tanΘ = y/x ; cotΘ = x/y.