the second part pls if cos theta 23 and tan theta is 0 find

the second part pls
if cos theta =-2/3 and tan theta is > 0, find sin theta and the other ones below it

19. Find he point on the unit circle which belong to a/ e 30s 20 If sin(0) 2/3 and cos 0 0 find as sun tan (0) If cos (9) 2/5 and tan 0 find sin(6) sin (T/2 0) COS 0 sin(TT 0) cos (20) cos (20) sin(20) 21. Calculate

Solution

cos=-2/3 <0, tan >0

=> is in third quadrant

=>sin <0

now

cos =adjacent side/hypotenuse= -2/5

hypotenuse²=opposite side²+ adjacent side²

5²=opposite side²+2²

25=opposite side²+4

opposite side²=21

opposite side=21

sin =opposite side/hypotenuse

sin =-21_/5

1)sin(_/2 -)

=cos

=-2_/5

2)cos(+)

=-cos

=2_/5

3)sin(-)

=sin

=-21_/5

4)cos(2) =2cos² -1

cos(2) =2(2_/5)² -1

cos(2) =(8_/25) -1

cos(2) =(-17_/25)

5)sin(2)=2sincos

sin(2)=2(-21_/5)(-2_/5)

sin(2)=421_/25