What is the value of ((sec(pi/3)+sec(pi/2))^2)/(sin^2(pi/4)) ?

The value of ((sec(pi/3)+sec(pi/2))^2)/(sin^2(pi/4)) is Undefined

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((sec(pi/3)+sec(pi/2))^2)/(sin^2(pi/4))

\frac{( sec ( \frac{π}{3} ) + sec ( \frac{π}{2} ) ) ^{2}}{sin ^{2} ( \frac{π}{4} )}

Undefined

Solution steps

\frac{( sec ( \frac{π}{3} ) + sec ( \frac{π}{2} ) ) ^{2}}{sin ^{2} ( \frac{π}{4} )}

Use the basic trigonometric identity:

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

= \frac{1}{cos ( \frac{π}{2} )}

Simplify

\frac{1}{cos ( \frac{π}{2} )} :

Undefined

= Undefined

\frac{3}{8} i cos^{2} (6 0^{\circ})

arctan (\frac{1}{6})

\frac{6 sin ( 4 2 ^{\circ} )}{sin ( 7 1 ^{\circ} )}

23 \cdot cos (6 0^{\circ})

arctan (\frac{0.5}{- \frac{3}{2}})

What is the value of ((sec(pi/3)+sec(pi/2))^2)/(sin^2(pi/4)) ?
The value of ((sec(pi/3)+sec(pi/2))^2)/(sin^2(pi/4)) is Undefined