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Popular >

cos(3(pi/2))

Solution

cos (3 (\frac{π}{2}))

Solution

0

Solution steps

cos (3 (\frac{π}{2}))

= cos (3 \cdot \frac{π}{2})

Simplify:

3 \cdot \frac{π}{2} = \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

Popular Examples

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(tan(50)+tan(10))/(1-tan(50)tan(10))

\frac{tan ( 5 0 ^{\circ} ) + tan ( 1 0 ^{\circ} )}{1 - tan ( 5 0 ^{\circ} ) tan ( 1 0 ^{\circ} )}

- cos (- 2 π)

Frequently Asked Questions (FAQ)

What is the value of cos(3(pi/2)) ?
The value of cos(3(pi/2)) is 0