What is the value of sec(-630) ?

The value of sec(-630) is Undefined

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sec(-630)

sec (- 63 0^{\circ})

Undefined

Solution steps

sec (- 63 0^{\circ})

Use the following property:

sec (- x) = sec (x)

sec (- 63 0^{\circ}) = sec (63 0^{\circ})

= sec (63 0^{\circ})

sec (63 0^{\circ}) = sec (27 0^{\circ})

sec (63 0^{\circ})

Rewrite

63 0^{\circ}

36 0^{\circ} + 27 0^{\circ}

= sec (36 0^{\circ} + 27 0^{\circ})

Apply the periodicity of

sec

sec (x + 36 0^{\circ}) = sec (x)

sec (36 0^{\circ} + 27 0^{\circ}) = sec (27 0^{\circ})

= sec (27 0^{\circ})

= sec (27 0^{\circ})

Rewrite using trig identities:

Undefined

sec (27 0^{\circ})

Use the basic trigonometric identity:

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

= \frac{1}{cos ( 27 0 ^{\circ} )}

Simplify

\frac{1}{cos ( 27 0 ^{\circ} )} :

Undefined

\frac{1}{cos ( 27 0 ^{\circ} )}

cos (27 0^{\circ}) = 0

= \frac{1}{0}

\frac{x}{0}

is undefined

= Undefined

= Undefined

= Undefined

2 (- 1)^{2} + 2 arcsin (- 1)

arccos (\frac{13}{6 \cdot 86})

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