Question

Given cos θ = 0.707, where 0 < θ < π 2 , find sin θ . Then find the tan θ .

Answer 1

We know that
if 0 < θ < π/2
then 
angle θ-------> belong to the first quadrant
so
sin θ and cos θ-----> are positive numbers

sin²θ+cos²=1---------> sin²θ=1-cos²θ-----> sin²θ=1-(0.707)²----> 0.50
sin²θ=0.50-----------> sin θ=0.707

the answer part A) is
 sin θ=0.707

if sin θ= cos θ
then
θ=45°

Part B) find tan θ
tan θ=sin θ/cos θ--------> tan θ=0.707/0.707--------> tan θ=1

the answer Part B) is
tan θ=1