What is expand sin(33+42) ?

The solution to expand sin(33+42) is (sqrt(3))/(2sqrt(2))+1/(2sqrt(2))

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expand sin(33+42)

expand

sin (3 3^{\circ} + 4 2^{\circ})

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

Decimal Notation

0.96592 \dots

Solution steps

sin (3 3^{\circ} + 4 2^{\circ})

Simplify

= sin (7 5^{\circ})

Rewrite using trig identities:

sin (4 5^{\circ}) cos (3 0^{\circ}) + cos (4 5^{\circ}) sin (3 0^{\circ})

= sin (4 5^{\circ}) cos (3 0^{\circ}) + cos (4 5^{\circ}) sin (3 0^{\circ})

Use the following trivial identity:

sin (4 5^{\circ}) = \frac{2}{2}

Use the following trivial identity:

sin (3 0^{\circ}) = \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}

- \frac{( x + 1 ) ^{3} ( 3 ln ( x + 1 ) + 1 )}{9}

\frac{8 x - 19}{( x + 2 ) ( x - 5 )}

\frac{7 x + 79}{( x + 1 ) ( x - 9 ) ( x + 9 )}

\frac{10598}{( s + 62.61 ) ( s - 62.61 )}

\frac{2 y - x ^{2} + 1}{( 1 - x ) ^{2}}

What is expand sin(33+42) ?
The solution to expand sin(33+42) is (sqrt(3))/(2sqrt(2))+1/(2sqrt(2))