What is the value of sin(pi/6)+cos(2 pi/6) ?

The value of sin(pi/6)+cos(2 pi/6) is 1

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sin(pi/6)+cos(2 pi/6)

sin (\frac{π}{6}) + cos (2 \frac{π}{6})

1

Solution steps

sin (\frac{π}{6}) + cos (2 \cdot \frac{π}{6})

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

Rewrite using trig identities:

cos (2 \cdot \frac{π}{6}) = \frac{1}{2}

= \frac{1}{2} + \frac{1}{2}

Simplify

\frac{1}{2} + \frac{1}{2} : 1

= 1

2 cos^{2} (24 0^{\circ}) + 3 sin (24 0^{\circ})

cot (arcsin (\frac{6}{7}))

- cos (21 0^{\circ}) - sin (31 5^{\circ})

\frac{1}{2} sec (2) tan (2) + \frac{1}{2} ln (sec (2) + tan (2))

sin (\frac{arcsin ( \frac{3}{5} )}{2})

What is the value of sin(pi/6)+cos(2 pi/6) ?
The value of sin(pi/6)+cos(2 pi/6) is 1