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

The value of cos((3*pi)/2) is 0

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cos((3*pi)/2)

cos (\frac{3 \cdot π}{2})

0

Solution steps

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

5 cos (\frac{5 π}{4})

cos (\frac{3 \cdot π}{4})

sec^{2} (1 2^{\circ})

e^{c o s (0)} sin^{2} (0) - e^{c o s (0)} cos (0)

tan (- \frac{i}{3})