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Popular >

sec^3(pi)

Solution

sec^{3} (π)

Solution

- 1

Solution steps

sec^{3} (π)

Use the following trivial identity:

sec (π) = (- 1)

sec (π)

sec (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} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} 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} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

= (- 1)

= (- 1)^{3}

Simplify

(- 1)^{3} : - 1

(- 1)^{3}

Apply exponent rule:

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

if

n

is odd

(- 1)^{3} = - 1^{3}

= - 1^{3}

Apply rule

1^{a} = 1

= - 1

= - 1

Popular Examples

csc(2((3pi)/8))

csc (2 (\frac{3 π}{8}))

2 arcsin (- \frac{1}{2})

sqrt(2)-cos(pi/2)

2 - cos (\frac{π}{2})

sec (- \frac{13 π}{4})

arccos(4/(4sqrt(2)))

arccos (\frac{4}{4 2})

Frequently Asked Questions (FAQ)

What is the value of sec^3(pi) ?
The value of sec^3(pi) is -1