What is the value of cos(1.5pi) ?

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cos(1.5pi)

cos (1.5 π)

0

Solution steps

cos (1.5 π)

= cos (\frac{3}{2} π)

Simplify:

\frac{3}{2} π = \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

cot (7 9^{\circ})

\frac{800}{tan ( 1 2 ^{\circ} )}

90 cos (6 0^{\circ})

cos (1.6 π)

tan (\frac{2}{7})