if sin theta is equal to 3/5 on the interval (pi/2 , pi), what is tan 2 theta?

Question

 if sin theta is equal to 3/5 on the interval (pi/2 , pi), what is tan 2 theta?

Answer 1

Hi,

 

sin(pi-theta) = sin theta

if sin theta = 3/5

theta = 37 degrees (rounded to the nearest whole number)

theta = 180 - 37 = 143° (in quadrant II)

tan 2theta = tan (2*143) = tan (286 deg) = -3.5 (rounded to the nearest tenth)