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DanielleElmas [232]
2 years ago
6

Find Tan Θ given sin Θ = √3/2 and cos Θ = 1/2 a √3 b 3 c 2 d 4

Mathematics
2 answers:
densk [106]2 years ago
4 0

We know:

\tan\Theta=\dfrac{\sin\Theta}{\cos\Theta}

We have:

\sin\Theta=\dfrac{\sqrt3}{2},\ \cos\Theta=\dfrac{1}{2}

Substitute:

\tan\Theta=\dfrac{\frac{\sqrt3}{2}}{\frac{1}{2}}=\dfrac{\sqrt3}{2}:\dfrac{1}{2}=\dfrac{\sqrt3}{2}\cdot\dfrac{2}{1}=\sqrt3

Answer: a. √3

Murrr4er [49]2 years ago
4 0

tan theta = sin theta/ cos theta

tan theta = sqrt (3)/2 divided by 1/2

               = sqrt (3)/2 * 2/1

              sqrt(3)

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