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Popular Trigonometry >

sec^2(0/2)

Solution

sec^{2} (\frac{0}{2})

Solution

1

Solution steps

sec^{2} (\frac{0}{2})

Simplify

= sec^{2} (0)

Use the following trivial identity:

sec (0) = 1

sec (0)

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

Popular Examples

-cos(pi/2)-cos(0)

cos(5pi)+isin(5pi)

(sin(150)+cot(315))/(sqrt(3)cos(210))

Frequently Asked Questions (FAQ)

What is the value of sec^2(0/2) ?
The value of sec^2(0/2) is 1