Question

If cot(theta)=1.5 and theta is in quadrant 3, what is the value of sin theta

Answer 1

`ans = \boxed{ 0.6}`

`since \: cot( \theta)= (1)/( \tan( \theta) ) \\ (1)/( \tan( \theta) ) = 1.5 \\ (1.5)\tan( \theta) = 1 \\ \tan( \theta) = (1)/(1.5) = 0.6666666667 \\ \theta = { \tan}^( - 1) (0.6666666667) \\ \theta = 33.69 \\ hence: \sin( \theta) = \sin(33.69) = 0.5546992156`