What is the value of sin(pi/6)cos(pi/2)+cos(pi/6)sin(pi/2) ?

The value of sin(pi/6)cos(pi/2)+cos(pi/6)sin(pi/2) is (sqrt(3))/2

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sin(pi/6)cos(pi/2)+cos(pi/6)sin(pi/2)

sin (\frac{π}{6}) cos (\frac{π}{2}) + cos (\frac{π}{6}) sin (\frac{π}{2})

\frac{3}{2}

Solution steps

sin (\frac{π}{6}) cos (\frac{π}{2}) + cos (\frac{π}{6}) sin (\frac{π}{2})

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

Use the following trivial identity:

cos (\frac{π}{2}) = 0

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Use the following trivial identity:

sin (\frac{π}{2}) = 1

= \frac{1}{2} \cdot 0 + \frac{3}{2} \cdot 1

Simplify

= \frac{3}{2}

sin (30.9 6^{\circ})

arcsin (\frac{( 2 )}{2})

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

tan (\frac{5}{6} π)

2 sin (π) - 1

What is the value of sin(pi/6)cos(pi/2)+cos(pi/6)sin(pi/2) ?
The value of sin(pi/6)cos(pi/2)+cos(pi/6)sin(pi/2) is (sqrt(3))/2