SOLUTION: if cos &#952;= -3/4 , pie/2 < &#952; < pie find the value of sin&#952; and tan&#952;

Algebra ->  Trigonometry-basics -> SOLUTION: if cos &#952;= -3/4 , pie/2 < &#952; < pie find the value of sin&#952; and tan&#952;      Log On


   

Question 915263: if cos θ= -3/4 , pie/2 < θ < pie find the value of sinθ and tanθ
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
cos theta = -3/4
cos^2 theta = 9/16
1-sin^2 theta = 9/16
sin^2 theta = 1-9/16
sin^2 theta = 7/16
sin Theta = +/- sqrt(7)/4
but theta is in the II quadrant
sin Theta = sqrt(7)/4