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

The value of sec(pi/6)+tan(pi/6) is square root of 3

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

sec (\frac{π}{6}) + tan (\frac{π}{6})

3

Solution steps

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}

= \frac{2 3}{3} + \frac{3}{3}

Simplify

\frac{2 3}{3} + \frac{3}{3} : 3

= 3

sin (6 0^{\circ}) + cos (4 5^{\circ})

sin (arctan (\frac{12}{5}) + arccos (\frac{12}{13}))

arcsin (0.4848)

- \frac{3}{8} cos (2) - \frac{3}{4} sin^{2} (1) + sin^{4} (1) + \frac{3}{8}

20 \cdot sin (3 5^{\circ})

What is the value of sec(pi/6)+tan(pi/6) ?
The value of sec(pi/6)+tan(pi/6) is square root of 3