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

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

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sec(pi/2)tan(pi/2)-sec^2(pi/2)

sec (\frac{π}{2}) tan (\frac{π}{2}) - sec^{2} (\frac{π}{2})

Undefined

Solution steps

sec (\frac{π}{2}) tan (\frac{π}{2}) - sec^{2} (\frac{π}{2})

Use the basic trigonometric identity:

tan (x) = \frac{sin ( x )}{cos ( x )}

= \frac{sin ( \frac{π}{2} )}{cos ( \frac{π}{2} )}

Simplify

\frac{sin ( \frac{π}{2} )}{cos ( \frac{π}{2} )} :

Undefined

\frac{sin ( \frac{π}{2} )}{cos ( \frac{π}{2} )}

cos (\frac{π}{2}) = 0

= \frac{sin ( \frac{π}{2} )}{0}

\frac{x}{0}

is undefined

= Undefined

= Undefined

150 cos (4 0^{\circ})

\frac{π}{2} - sin (\frac{π}{2})

- 2 sin^{2} (2 π)

2 sin (\frac{2 π}{7}) cos (\frac{2 π}{7})

sin (12 6^{\circ})

What is the value of sec(pi/2)tan(pi/2)-sec^2(pi/2) ?
The value of sec(pi/2)tan(pi/2)-sec^2(pi/2) is Undefined