What is the value of sin(18)cos(27)+cos(18)sin(27) ?

The value of sin(18)cos(27)+cos(18)sin(27) is (sqrt(2))/2

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sin(18)cos(27)+cos(18)sin(27)

sin (1 8^{\circ}) cos (2 7^{\circ}) + cos (1 8^{\circ}) sin (2 7^{\circ})

\frac{2}{2}

Solution steps

sin (1 8^{\circ}) cos (2 7^{\circ}) + cos (1 8^{\circ}) sin (2 7^{\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}

5 (sin (4) + cos (4) + 4 (cos (4) - sin (4)))

arccos (7350)

cos (\frac{12}{15})

(cos (2))^{2}

sin (4 5^{\circ}) csc (4 5^{\circ})

What is the value of sin(18)cos(27)+cos(18)sin(27) ?
The value of sin(18)cos(27)+cos(18)sin(27) is (sqrt(2))/2