If cos (θ) = - 8/17 and sin (θ) is negative, then sin (θ) = and tan (θ) =.

sin (θ) = - 15/17

tan (θ) = 15/8

Step-by-step explanation:

it is known that cos² (θ) + sin² (θ) = 1

cos (θ) = - 8/17

cos² (θ) = 64/289

sin² (θ) = (289-64) / 289

sin² (θ) = 225/289

sin (θ) = ±15/17

since sin (θ) is negative, sin (θ) = - 15/17

we also know that tan (θ) = sin (θ) / cos (θ)

tan (θ) = (-15/17) / (-8/17) = (-15/17 * 17) / - 8 = 15/8