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Popular >

-cos^2(pi)

Solution

- cos^{2} (π)

Solution

- 1

Solution steps

- cos^{2} (π)

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)

= - (- 1)^{2}

Simplify

- (- 1)^{2} : - 1

- (- 1)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 1)^{2} = 1^{2}

= - 1^{2}

Apply rule

1^{a} = 1

= - 1

= - 1

Popular Examples

sin(2arcsin((sqrt(2))/2))

sin (2 arcsin (\frac{2}{2}))

tan (\frac{7}{24})

cos (\frac{3}{π})

arctan (\frac{- 3}{0})

(3cos(pi))/(sin(pi)+6)

\frac{3 cos ( π )}{sin ( π ) + 6}

Frequently Asked Questions (FAQ)

What is the value of -cos^2(pi) ?
The value of -cos^2(pi) is -1