What is the value of sin((7pi)/(12))+sin(pi/(12)) ?

The value of sin((7pi)/(12))+sin(pi/(12)) is sqrt(3/2)

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sin((7pi)/(12))+sin(pi/(12))

sin (\frac{7 π}{12}) + sin (\frac{π}{12})

\frac{3}{2}

Solution steps

sin (\frac{7 π}{12}) + sin (\frac{π}{12})

Rewrite using trig identities:

2 sin (\frac{π}{3}) cos (\frac{π}{4})

= 2 sin (\frac{π}{3}) cos (\frac{π}{4})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

= 2 \cdot \frac{3}{2} \cdot \frac{2}{2}

Simplify

2 \cdot \frac{3}{2} \cdot \frac{2}{2} : \frac{3}{2}

= \frac{3}{2}

sin (- 28 5^{\circ})

tan (\frac{11 π}{6} + \frac{7 π}{4})

sin (arcsin (\frac{4 π}{3}))

cos (π)

50 cos (7 0^{\circ})

What is the value of sin((7pi)/(12))+sin(pi/(12)) ?
The value of sin((7pi)/(12))+sin(pi/(12)) is sqrt(3/2)