What is the value of sec^2((3pi)/2) ?

The value of sec^2((3pi)/2) is Undefined

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sec^2((3pi)/2)

sec^{2} (\frac{3 π}{2})

Undefined

Solution steps

sec^{2} (\frac{3 π}{2})

Rewrite using trig identities:

sec (\frac{3 π}{2}) =

Undefined

sec (\frac{3 π}{2})

Use the basic trigonometric identity:

sec (x) = \frac{1}{cos ( x )}

= \frac{1}{cos ( \frac{3 π}{2} )}

Simplify

\frac{1}{cos ( \frac{3 π}{2} )} :

Undefined

\frac{1}{cos ( \frac{3 π}{2} )}

cos (\frac{3 π}{2}) = 0

= \frac{1}{0}

\frac{x}{0}

is undefined

= Undefined

= Undefined

= Undefined

\frac{10}{cos ( 6 8 ^{\circ} )}

(sec (3 0^{\circ})) (cos (3 0^{\circ})) - (tan (6 0^{\circ})) (cot (6 0^{\circ}))

3 \cdot sin (\frac{π}{2})

14 sin^{2} (2 π)

sec (3 0^{\circ}) cos (3 0^{\circ}) + sin (4 5^{\circ}) csc (4 5^{\circ}) - cot (3 0^{\circ})