What is the value of sec^2(-24pi)*(-11)pi ?

The value of sec^2(-24pi)*(-11)pi is -11pi

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sec^2(-24pi)*(-11)pi

sec^{2} (- 24 π) \cdot (- 11) π

- 11 π

Solution steps

sec^{2} (- 24 π) (- 11) π

Simplify

= - 11 π sec^{2} (- 24 π)

Use the following property:

sec (- x) = sec (x)

sec (- 24 π) = sec (24 π)

= - 11 π sec^{2} (24 π)

sec (24 π) = sec (0)

= - 11 π sec^{2} (0)

Use the following trivial identity:

sec (0) = 1

= - 11 π 1^{2}

Simplify

= - 11 π

tan (arccos (\frac{12}{13}))

\frac{1}{cos ( 6 0 ^{\circ} )}

cos (7 2^{\circ}) cos (13 0^{\circ}) + sin (7 2^{\circ}) sin (13 0^{\circ})

cos (7 0^{\circ}) \cdot cos (4 0^{\circ}) + sin (7 0^{\circ}) \cdot sin (4 0^{\circ})

arcsec (- 4)

What is the value of sec^2(-24pi)*(-11)pi ?
The value of sec^2(-24pi)*(-11)pi is -11pi