What is the value of cos(-(11pi)/2) ?

The value of cos(-(11pi)/2) is 0

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cos(-(11pi)/2)

cos (- \frac{11 π}{2})

0

Solution steps

cos (- \frac{11 π}{2})

Use the following property:

cos (- x) = cos (x)

cos (- \frac{11 π}{2}) = cos (\frac{11 π}{2})

= cos (\frac{11 π}{2})

cos (\frac{11 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

4 \cdot cos (3 0^{\circ})

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

sinh (2 π)

cos^{2} (22. 5^{\circ}) - sin^{2} (22. 5^{\circ})

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