# How do you find the remaining trigonometric ratios if #tan(alpha) = 9# and #0 < alpha < pi/2#?

##### 2 Answers

#### Answer:

Use SOH-CAH-TOA mnemonic and Pythagoras to find:

#### Explanation:

For our purposes, it does not matter what size the triangle is - just its proportions. So let the length of the *opposite* side be *adjacent* side be

Hence

and

#### Answer:

Find other trig functions knowing tan x = 9

#### Explanation:

Use a calculator.

tan x = 9 --> x = 83.66 deg

sin 83.66 = 0.99

cos 83.66 = 0.11