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Popular >

(sec(pi))^2

Solution

(sec (π))^{2}

Solution

1

Solution steps

(sec (π))^{2}

= sec^{2} (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)^{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

cos (\frac{π}{20})

4 cos (\frac{7 π}{4})

tan (96 0^{\circ})

2 sin (30 0^{\circ})

tan (\frac{- 7 π}{3})

Frequently Asked Questions (FAQ)

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