Question

Find the exact value of the indicated trigonometric functions for the acute angle a:

Given: tan a=2.4, Find: sin a and cot a.

Answer 1

Tan=24/10 ≈ 2.4

using Pythagoras theorem

x²=(24)²+(10)²

x²=576+100

x²=57600

x=√57600 => 240

Therefore

sina=24/240 => 0.1

cota=1/tana => 1/(24/10) => 10/24