Pythagorean theorem how to work out height length etc using ratios?

Question

Pythagorean theorem how to work out height length etc using ratios?

Answer 1

The various ratios you can have using the Pythagorean theorem are the following:

Ratio of opposite side of the angle to the hypotenuse = sine of the angle

Ratio of adjacent side of the angle to the hypotenuse = cosine of the angle

Ratio of opposite side of the angle to the adjacent side = tangent of the angle

OTHER RATIOS --

cosecant of an angle (abbreviated csc) = reciprocal of sine

secant of an angle (abbreviated sec) = reciprocal of cosine

cotangent of an angle (abbreviated cot) = reciprocal of tangent