Answer to Question #297904 in Trigonometry for Reh

Question

If the terminal side of ∅ is in the second quadrant and sin ∅ = 2/3. Find the values of the trigonometric functions of ∅.

Answer 1

Opposite side =2, hypotenuse = 3

Adjacent$=\sqrt{(3^2-2^2}=\sqrt5$

$Cos \theta=-\frac{√5}{3}\>\>tan\theta=-\frac{2}{√5}$

$csc\,\theta=\frac{3}{2}\>\>\>sec\>\theta=-\frac{3}{√5}$

$cot\>\theta=-\frac{√5}{2}$