What is the value of cos((15pi)/2) ?

The value of cos((15pi)/2) is 0

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cos((15pi)/2)

cos (\frac{15 π}{2})

0

Solution steps

cos (\frac{15 π}{2})

cos (\frac{15 π}{2}) = cos (\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

csc (4 0^{\circ}) + sin (3 5^{\circ})

sec (\frac{- π}{6})

arctan (\frac{3 2}{3 2})

arctan (2 - 3)

1 - sin (\frac{π}{3})