Answer:
sin(θ)=±0.5385
Step-by-step explanation:
We're given the following trigonometric equation:
cos(2θ)=0.42
Through the double angle formulae of Cosine, we know that:
cos(2θ)=cos²(θ)-sin²(θ)=1-2sin²(θ)
Substituting the formula in our equation:
1-2sin²(θ)=0.42
Hence,
2sin²(θ)=1-0.42
2sin²(θ)=0.58
sin²(θ)=0.29
sin(θ)=\(\sqrt{0.29} = \pm 0.5385\)
