What is the value of cos(pi/6)+tan(pi/3)+3csc(pi/4)-6tan(pi/4) ?

The value of cos(pi/6)+tan(pi/3)+3csc(pi/4)-6tan(pi/4) is (sqrt(3))/2+sqrt(3)+3sqrt(2)-6

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cos(pi/6)+tan(pi/3)+3csc(pi/4)-6tan(pi/4)

cos (\frac{π}{6}) + tan (\frac{π}{3}) + 3 csc (\frac{π}{4}) - 6 tan (\frac{π}{4})

\frac{3}{2} + 3 + 32 - 6

Solution steps

cos (\frac{π}{6}) + tan (\frac{π}{3}) + 3 csc (\frac{π}{4}) - 6 tan (\frac{π}{4})

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Use the following trivial identity:

tan (\frac{π}{3}) = 3

Use the following trivial identity:

csc (\frac{π}{4}) = 2

Use the following trivial identity:

tan (\frac{π}{4}) = 1

= \frac{3}{2} + 3 + 32 - 6 \cdot 1

Simplify

= \frac{3}{2} + 3 + 32 - 6

\frac{cos ( \frac{π}{2} ) - cos ( \frac{4 π}{3} )}{2 sin ( \frac{5 π}{6} )}

35 sin (1 0^{\circ}) - (9.8 \cdot 7.5)

arcsin (\frac{3}{18})

cot (12 7^{\circ})

arcsin (0.69264)

What is the value of cos(pi/6)+tan(pi/3)+3csc(pi/4)-6tan(pi/4) ?
The value of cos(pi/6)+tan(pi/3)+3csc(pi/4)-6tan(pi/4) is (sqrt(3))/2+sqrt(3)+3sqrt(2)-6