# Solve sec(30)+tan(45)-csc(60)/sec(30)+cos(60)+cot(45)

Solve $\mathrm{sec}\left(30\right)+\mathrm{tan}\left(45\right)-\frac{\mathrm{csc}\left(60\right)}{\mathrm{sec}\left(30\right)}+\mathrm{cos}\left(60\right)+\mathrm{cot}\left(45\right)$
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grbavit

$\mathrm{cos}ec60=\mathrm{sec}30=\frac{1}{\mathrm{cos}30}=\frac{2}{\sqrt{3}}=\frac{1}{\mathrm{sin}60},$
$\mathrm{cot}45=\mathrm{tan}45=1,$
$\mathrm{cos}60=\mathrm{sin}30=\frac{1}{2}.$
The expression becomes:
$\frac{2}{\sqrt{3}}+1-\left(\frac{2}{\sqrt{3}}\left(\frac{2}{\sqrt{3}}+\frac{1}{2}+1=\frac{2}{\sqrt{3}}+1-1+\frac{1}{2}+1=2\frac{\sqrt{3}}{3}+\frac{3}{2}=2.6547\right)\right).$ approx.