What is $\frac{5 tan θ}{2}$ $(5tantheta)/2$ in terms of $sec θ$ $sectheta$ ?

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Answer 1 · 2016-02-04T22:05:22

$\frac{5}{2} sin θ \cdot sec θ$ $5/2sintheta*sectheta$ .

Using the following trig identity and trig ratio

$\frac{sin θ}{cos θ} = tan θ$ $sintheta/(costheta)=tantheta$ , and $sec θ = \frac{1}{cos θ}$ $sectheta=1/costheta$

we get

$\frac{5 tan θ}{2} = \frac{5 sin θ}{2 cos θ} = \frac{5}{2} sin θ \cdot sec θ$ $(5tantheta)/2=(5sintheta)/(2costheta)=5/2sintheta*sectheta$ .

What is (5tantheta)/25tanθ2(5tantheta)/2 in terms of secthetasecθsectheta?