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How do you find the exact value of $sin (\frac{1}{2} θ) = cos θ$ $sin(1/2theta)=costheta$ in the interval $0 \leq θ < 360$ $0<=theta<360$ ?

1 Answer

Aug 17, 2017

$θ$ $theta$ =60

Explanation:

$sin (x) = cos (y)$ $sin(x)=cos(y)$

If $x + y = 90$ $x+y=90$

$\frac{1}{2} θ + θ = 90$ $1/2 theta + theta = 90$

$\frac{3}{2} θ = 90$ $3/2 theta = 90$

$θ = 60$ $theta = 60$

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