Find the exact value of sin (-0) when cos (-0) = 3/5 and tan 0<0

sin (θ) = - 4/5

Step-by-step explanation:

tan (θ) < 0 means the sine and cosine have opposite signs. The relation between sine and cosine is ...

sin (θ) = ±√ (1 - cos (θ) ²) = ±√ (1 - (9/25)) = ±√ (16/25)

We want the negative square root, since the cosine is positive:

sin (θ) = - 4/5