What is the value of sin(30)cos(15)+cos(30)sin(15) ?

The value of sin(30)cos(15)+cos(30)sin(15) is (sqrt(2))/2

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sin(30)cos(15)+cos(30)sin(15)

sin (3 0^{\circ}) cos (1 5^{\circ}) + cos (3 0^{\circ}) sin (1 5^{\circ})

\frac{2}{2}

Solution steps

sin (3 0^{\circ}) cos (1 5^{\circ}) + cos (3 0^{\circ}) sin (1 5^{\circ})

Rewrite using trig identities:

sin (4 5^{\circ})

= sin (4 5^{\circ})

Use the following trivial identity:

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

= \frac{2}{2}

69 cos (2 6^{\circ})

cot (8 0^{\circ})

sinh (4 π) i

arctan (\frac{- 4}{- 3})

tan (13 π)

What is the value of sin(30)cos(15)+cos(30)sin(15) ?
The value of sin(30)cos(15)+cos(30)sin(15) is (sqrt(2))/2