What is the value of cos(7/2 pi) ?

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cos(7/2 pi)

cos (\frac{7}{2} π)

0

Solution steps

cos (\frac{7}{2} π)

Simplify:

\frac{7}{2} π = \frac{7 π}{2}

= cos (\frac{7 π}{2})

cos (\frac{7 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

sec (\frac{2 π}{6})

\frac{1}{2} sin (\frac{3 π}{4})

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

tan (- 58 5^{\circ})

75 sin (3 0^{\circ})