What is the value of sin(45)cos(15)+cos(45)sin(15) ?

The value of sin(45)cos(15)+cos(45)sin(15) is (sqrt(3))/2

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sin(45)cos(15)+cos(45)sin(15)

sin (4 5^{\circ}) cos (1 5^{\circ}) + cos (4 5^{\circ}) sin (1 5^{\circ})

\frac{3}{2}

Solution steps

sin (4 5^{\circ}) cos (1 5^{\circ}) + cos (4 5^{\circ}) sin (1 5^{\circ})

Rewrite using trig identities:

sin (6 0^{\circ})

= sin (6 0^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

= \frac{3}{2}

sin (138 0^{\circ})

sin^{7} (9 0^{\circ})

sech (- 2)

cot (arcsin (\frac{7}{9}))

4 sin (2 \cdot \frac{π}{6})

What is the value of sin(45)cos(15)+cos(45)sin(15) ?
The value of sin(45)cos(15)+cos(45)sin(15) is (sqrt(3))/2