Answer to Question #297902 in Trigonometry for Dzaii

Question

If the terminal side of angle ∅ is in first quadrant and tan ∅ is 1/√3. Find the values of the other trigonometric functions of ∅.

Answer 1

Hypotenuse$=\sqrt{1+(√3)^2}=2$

$cot\>\theta=\sqrt{3}\>\>\>\>\>sin\>\theta=\frac{1}{2}$

$csc\>\theta=2\>\>\>\>\>cos\>\>\theta=\frac{√3}{2}$

$sec\>\theta=\frac{2}{√3}$