What is expand sin((7pi)/(12)) ?

The solution to expand sin((7pi)/(12)) is (sqrt(3))/(2sqrt(2))+1/(2sqrt(2))

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expand sin((7pi)/(12))

expand

sin (\frac{7 π}{12})

\frac{3}{2 2} + \frac{1}{2 2}

Decimal Notation

0.96592 \dots

Solution steps

sin (\frac{7 π}{12})

Rewrite using trig identities:

sin (\frac{π}{3}) cos (\frac{π}{4}) + cos (\frac{π}{3}) sin (\frac{π}{4})

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

= \frac{3}{2} \cdot \frac{2}{2} + \frac{1}{2} \cdot \frac{2}{2}

Simplify

\frac{3}{2} \cdot \frac{2}{2} + \frac{1}{2} \cdot \frac{2}{2} : \frac{2 ( 3 + 1 )}{4}

= \frac{2 ( 3 + 1 )}{4}

Simplify

= \frac{3}{2 2} + \frac{1}{2 2}

(1 + x 3)^{2}

(2 m^{\frac{1}{2}} - m n^{\frac{5}{7}})^{3}

\frac{p ( x )}{( 7 x + 11 ) ^{2}}

\frac{1}{( 3 + a ) ^{2} ( 4 + a )}

ln (\frac{x - 48}{x})

What is expand sin((7pi)/(12)) ?
The solution to expand sin((7pi)/(12)) is (sqrt(3))/(2sqrt(2))+1/(2sqrt(2))