Answer:
The value found is.
sin θ = 0.6
Step-by-step explanation:
We know that the value of cosθ is given -4/5
cosθ = -4/5
First, lets finds the angle θ by taking inverse of cosine of -4/5
θ = cos⁻¹ (-4/5)
θ = 143.13°
Substitute the found θ = 143.13° it in tanθ to see if satisfies the equation tanθ < 0:
tanθ < 0
tan(143.13°) < 0
-0.75 < 0
Hence the equation is satisfied.
Which means that θ is equals to 143.13° and can be used to find sinθ
sinθ = sin 143.13°
sin 143.13° = 0.6
