What is the value of sin(pi/4)+tan(pi/6) ?

The value of sin(pi/4)+tan(pi/6) is (3sqrt(2)+2sqrt(3))/6

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sin(pi/4)+tan(pi/6)

sin (\frac{π}{4}) + tan (\frac{π}{6})

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

Solution steps

sin (\frac{π}{4}) + tan (\frac{π}{6})

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

tan (\frac{π}{6}) = \frac{3}{3}

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

Simplify

\frac{2}{2} + \frac{3}{3} : \frac{3 2 + 2 3}{6}

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

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

cos^{2} (3 π)

sin^{2} (\frac{1}{4} π)

cot (6 2^{\circ})

cos (\frac{13}{12})

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