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Popular >

(cos(pi))^2

Solution

(cos (π))^{2}

Solution

1

Solution steps

(cos (π))^{2}

= 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

arctan((-1/2}{-\frac{sqrt(3))/2})

arctan (\frac{- \frac{1}{2}}{- \frac{3}{2}})

((7.11^2)sin(2*30))/(14.59)

\frac{( 7.1 1 ^{2} ) sin ( 2 \cdot 30 )}{14.59}

arccsc (\frac{π}{2})

cos(240)-tan(5/4)pi-sin(pi)

cos (24 0^{\circ}) - tan (\frac{5}{4}) π - sin (π)

tan (\frac{- 4}{3})

Frequently Asked Questions (FAQ)

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