How do you find the remaining trigonometric ratios if #tan(alpha) = 9# and #0 < alpha < pi/2#?
Use SOH-CAH-TOA mnemonic and Pythagoras to find:
For our purposes, it does not matter what size the triangle is - just its proportions. So let the length of the opposite side be
Find other trig functions knowing tan x = 9
Use a calculator.
tan x = 9 --> x = 83.66 deg
sin 83.66 = 0.99
cos 83.66 = 0.11