What is expand sin((11pi)/(60)+(7pi)/(30)) ?

The solution to expand sin((11pi)/(60)+(7pi)/(30)) is (sqrt(3))/(2sqrt(2))+1/(2sqrt(2))

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expand sin((11pi)/(60)+(7pi)/(30))

expand

sin (\frac{11 π}{60} + \frac{7 π}{30})

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

Decimal Notation

0.96592 \dots

Solution steps

sin (\frac{11 π}{60} + \frac{7 π}{30})

Join

\frac{11 π}{60} + \frac{7 π}{30} : \frac{5 π}{12}

= sin (\frac{5 π}{12})

Rewrite using trig identities:

sin (\frac{π}{4}) cos (\frac{π}{6}) + cos (\frac{π}{4}) sin (\frac{π}{6})

= sin (\frac{π}{4}) cos (\frac{π}{6}) + cos (\frac{π}{4}) sin (\frac{π}{6})

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

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

Simplify

\frac{2}{2} \cdot \frac{3}{2} + \frac{2}{2} \cdot \frac{1}{2} : \frac{6 + 2}{4}

= \frac{6 + 2}{4}

Simplify

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

A (2, 1) B (- 3, 2) y C (- 5, - 2)

s g n (x^{2} - 16) 8 - 2 x - x^{2}

(2 y + 1) (2 y - 1)

1400 (33 + 7)

\frac{( 1 - e ^{(4 s)} )}{( s ^{2} ( s + 1 ) )}

What is expand sin((11pi)/(60)+(7pi)/(30)) ?
The solution to expand sin((11pi)/(60)+(7pi)/(30)) is (sqrt(3))/(2sqrt(2))+1/(2sqrt(2))