Question

if cos is 5/13 find sin2x​

Answer 1

Answer:

-120/169

Step-by-step explanation:

hey mate , here is your answer

→ find sin 2x ,knowing cos x = 5/13

→ explanation:

→ cos x = 5 /13 . find sin x

→sin ²x = 1 - cos ² x = 1 -25 / 169 =144/ 169 ⇒ sin x  = ± 12/13

→ Since x is in Quadrant IV, then sin x is negative.

→ sin x = -12/13

→ sin 2 x = 2sin x .cos x= 2 ( -12/13) ( 5 /13) = - 120/169

thank you