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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

2sin(θ)+sqrt(3)=0

2 sin (θ) + 3 = 0

cos(2x)= 1/(sqrt(2))

cos (2 x) = \frac{1}{2}

cos^2(x)=2+2sin(x)

cos^{2} (x) = 2 + 2 sin (x)

arccsc((2sqrt(3))/3)

arccsc (\frac{2 3}{3})

csc(θ)+sqrt(2)=0

csc (θ) + 2 = 0

Frequently Asked Questions (FAQ)

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