What is the value of (cos(pi))/1 ?

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(cos(pi))/1

\frac{cos ( π )}{1}

- 1

Solution steps

\frac{cos ( π )}{1}

Use the following trivial identity:

cos (π) = (- 1)

cos (π)

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= (- 1)

= \frac{- 1}{1}

Simplify

= - 1

4 sin (0.25)

cos (arctan (\frac{9}{40}))

\frac{31.5}{tan ( 7 5 ^{\circ} )}

sin (1 8^{\circ}) cos (2 7^{\circ}) + cos (1 8^{\circ}) sin (2 7^{\circ})

5 (sin (4) + cos (4) + 4 (cos (4) - sin (4)))