What is the value of sec(-(7pi)/4) ?

The value of sec(-(7pi)/4) is square root of 2

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sec(-(7pi)/4)

sec (- \frac{7 π}{4})

2

Solution steps

sec (- \frac{7 π}{4})

Use the following property:

sec (- x) = sec (x)

sec (- \frac{7 π}{4}) = sec (\frac{7 π}{4})

= sec (\frac{7 π}{4})

Rewrite using trig identities:

\frac{1}{cos ( \frac{7 π}{4} )}

= \frac{1}{cos ( \frac{7 π}{4} )}

Rewrite using trig identities:

cos (\frac{7 π}{4}) = \frac{2}{2}

= \frac{1}{\frac{2}{2}}

Simplify

\frac{1}{\frac{2}{2}} : 2

= 2

cos (\frac{31 π}{6})

tan (6 3^{\circ})

tan (2 1^{\circ})

sin (\frac{12}{13})

cos (- 4 π)

What is the value of sec(-(7pi)/4) ?
The value of sec(-(7pi)/4) is square root of 2