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

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cos(3/2 pi)

cos (\frac{3}{2} π)

0

Solution steps

cos (\frac{3}{2} π)

Simplify:

\frac{3}{2} π = \frac{3 π}{2}

= cos (\frac{3 π}{2})

Rewrite using trig identities:

cos (π) cos (\frac{π}{2}) - sin (π) sin (\frac{π}{2})

= cos (π) cos (\frac{π}{2}) - sin (π) sin (\frac{π}{2})

Use the following trivial identity:

cos (π) = (- 1)

Use the following trivial identity:

cos (\frac{π}{2}) = 0

Use the following trivial identity:

sin (π) = 0

Use the following trivial identity:

sin (\frac{π}{2}) = 1

= (- 1) \cdot 0 - 0 \cdot 1

Simplify

= 0

sin (4 1^{\circ})

10 sin (3 0^{\circ})

arccos (sin (\frac{5 π}{4}))

sin (1 3^{\circ})

arctan (\frac{3}{3})