Question

Find Sin x and Tan x if Cos x=2/3 and Cot x >0. Evaluate without using calculator.​

Answer 1

$\sqrt5$Answer:

Sin^2 x + Cos^2 x = 1

Sin^2 x = 1 - 4 / 9 = 5 / 9

Sin x = $\sqrt5$  / 3

Tan x = Sin x / Cos x = ($\sqrt5$  / 3) /  (2 / 3) =  $\sqrt5$  / 2