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

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

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cos(pi/2)cos(pi/3)+sin(pi/2)sin(pi/3)

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

\frac{3}{2}

Solution steps

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

Use the following trivial identity:

cos (\frac{π}{2}) = 0

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

Use the following trivial identity:

sin (\frac{π}{2}) = 1

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

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

Simplify

= \frac{3}{2}

200 sin (2 0^{\circ})

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

tan^{2} (arctan (2)) + cot^{2} (arccot (3))

20 cos (5 3^{\circ})

cos (\frac{53 \cdot π}{180}) \cdot 4.5

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