Answer:
- as written, sin(θ) = -√13/4
- perhaps, sin(θ) = -1/2
Two answers are given because the question is "unexpected." cos(θ) = √(3/4) is more commonly seen in such problems than is cos(θ) = (√3)/4, which is what you have written here. Choose the answer that matches your intent.
Explanation:
The cosine function is an even function, so cos(θ) = cos(-θ).
The relationship between sin(θ) and cos(θ) is ...
... sin(θ) = ±√(1 -cos(θ)^2)
For sin(θ) < 0 and cos(θ) = (√3)/4, ...
... sin(θ) = -√(1 -3/16) = -√(13/16)
... sin(θ) = -(√13)/4
For sin(θ) < 0 and cos(0) = √(3/4), ...
... sin(θ) = -√(1 -3/4) = -√(1/4)
... sin(θ) = -1/2