What is the value of sec^2(arctan(2))+csc^2(arccot(3)) ?

The value of sec^2(arctan(2))+csc^2(arccot(3)) is 15

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sec^2(arctan(2))+csc^2(arccot(3))

sec^{2} (arctan (2)) + csc^{2} (arccot (3))

15

Solution steps

sec^{2} (arctan (2)) + csc^{2} (arccot (3))

Rewrite using trig identities:

sec (arctan (2)) = 5

Rewrite using trig identities:

csc (arccot (3)) = 10

= (5)^{2} + (10)^{2}

Simplify

(5)^{2} + (10)^{2} : 15

= 15

arccos (0.375)

arccos (1.6)

32 sin (3 0^{\circ})

cos (4 5^{\circ}) sin (3 0^{\circ}) - cos (4 5^{\circ}) sin (3 0^{\circ})

cos^{2} (4 π)

What is the value of sec^2(arctan(2))+csc^2(arccot(3)) ?
The value of sec^2(arctan(2))+csc^2(arccot(3)) is 15