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

The value of 2sec^2(pi/2) is Undefined

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2sec^2(pi/2)

2 sec^{2} (\frac{π}{2})

Undefined

Solution steps

2 sec^{2} (\frac{π}{2})

Rewrite using trig identities:

sec^{2} (\frac{π}{2}) = tan^{2} (\frac{π}{2}) + 1

sec^{2} (\frac{π}{2})

Use the Pythagorean identity:

sec^{2} (x) = tan^{2} (x) + 1

= tan^{2} (\frac{π}{2}) + 1

= 2 (tan^{2} (\frac{π}{2}) + 1)

tan (\frac{π}{2})

is undefined

= Undefined

sin (arccos (\frac{- 2}{2}))

3 + cos (π)

sec^{2} (- 1)

tan (sin (- \frac{5}{3}))

tan (\frac{π}{6}) + sin (\frac{5 π}{3}) \cdot cos (- \frac{3 π}{4})