What is $\frac{7 csc θ}{2}$ $(7csctheta)/2$ in terms of $sin θ$ $sintheta$ ?

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What is $\frac{7 csc θ}{2}$ $(7csctheta)/2$ in terms of $sin θ$ $sintheta$ ?

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Answer 1 · 2016-03-02T13:10:39

$\frac{7}{2 sin θ}$ $7/(2sintheta)$

Explanation:

$1$ $1$ . Rewrite $csc θ$ $csctheta$ in terms of $sin θ$ $sintheta$ . Recall that $csc θ = \frac{1}{sin θ}$ $csctheta=1/sintheta$ .

$\frac{7 csc θ}{2}$ $(7csctheta)/2$

$= \frac{7 (\frac{1}{sin θ})}{2}$ $=(7(1/sintheta))/2$

$2$ $2$ . Multiply $7$ $7$ by $\frac{1}{sin θ}$ $1/sintheta$ .

$= \frac{\frac{7}{sin θ}}{2}$ $=(7/sintheta)/2$

$3$ $3$ . Simplify.

$= \frac{7}{sin θ} \div 2$ $=7/sintheta-:2$

$= \frac{7}{sin θ} \times \frac{1}{2}$ $=7/sinthetaxx1/2$

$= \frac{7}{2 sin θ}$ $=color(green)(7/(2sintheta))$

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What is $\frac{7 csc θ}{2}$ $(7csctheta)/2$ in terms of $sin θ$ $sintheta$ ?

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Explanation:

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What is $\frac{7 csc θ}{2}$ $(7csctheta)/2$ in terms of $sin θ$ $sintheta$ ?