What is the value of ln(sec(pi/6)+tan(pi/6)) ?

The value of ln(sec(pi/6)+tan(pi/6)) is 1/2 ln(3)

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ln(sec(pi/6)+tan(pi/6))

ln (sec (\frac{π}{6}) + tan (\frac{π}{6}))

\frac{1}{2} ln (3)

Solution steps

ln (sec (\frac{π}{6}) + tan (\frac{π}{6}))

Use the following trivial identity:

sec (\frac{π}{6}) = \frac{2 3}{3}

Use the following trivial identity:

tan (\frac{π}{6}) = \frac{3}{3}

= ln (\frac{2 3}{3} + \frac{3}{3})

Simplify

ln (\frac{2 3}{3} + \frac{3}{3}) : \frac{1}{2} ln (3)

= \frac{1}{2} ln (3)

sin (35 5^{\circ})

\frac{1}{tan ( 2 )}

cos (3.5)

sin (arctan (2))

sin (4 5^{\circ} + 18 0^{\circ})

What is the value of ln(sec(pi/6)+tan(pi/6)) ?
The value of ln(sec(pi/6)+tan(pi/6)) is 1/2 ln(3)