What is the value of sin((3pi)/4)cos(pi/(12))+cos((3pi)/4)sin(pi/(12)) ?

The value of sin((3pi)/4)cos(pi/(12))+cos((3pi)/4)sin(pi/(12)) is 1/2

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sin((3pi)/4)cos(pi/(12))+cos((3pi)/4)sin(pi/(12))

sin (\frac{3 π}{4}) cos (\frac{π}{12}) + cos (\frac{3 π}{4}) sin (\frac{π}{12})

\frac{1}{2}

Solution steps

sin (\frac{3 π}{4}) cos (\frac{π}{12}) + cos (\frac{3 π}{4}) sin (\frac{π}{12})

Rewrite using trig identities:

sin (\frac{5 π}{6})

= sin (\frac{5 π}{6})

Use the following trivial identity:

sin (\frac{5 π}{6}) = \frac{1}{2}

= \frac{1}{2}

arccos (0.5)

3 tan (9 0^{\circ})

arcsin (\frac{( 1.33 \cdot sin ( 5 8 ^{\circ} ) )}{1.52})

- \frac{sin ( 2 ) ( π )}{6}

cos (- \frac{3 π}{2}) + i sin (- \frac{3 π}{2})

What is the value of sin((3pi)/4)cos(pi/(12))+cos((3pi)/4)sin(pi/(12)) ?
The value of sin((3pi)/4)cos(pi/(12))+cos((3pi)/4)sin(pi/(12)) is 1/2