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

The value of sec^2(pi/4)+csc^2(pi/4) is 4

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sec^2(pi/4)+csc^2(pi/4)

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

4

Solution steps

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

Use the following trivial identity:

sec (\frac{π}{4}) = 2

Use the following trivial identity:

csc (\frac{π}{4}) = 2

= (2)^{2} + (2)^{2}

Simplify

(2)^{2} + (2)^{2} : 4

= 4

arctan (\frac{12}{20})

6 \cdot sin (4 0^{\circ})

cos (0.2 π)

cos (\frac{17 π}{9})

sin (\frac{1}{5} (\frac{5 π}{6})) + 2

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