What is the general solution for sec(x)=-7/4 ?

The general solution for sec(x)=-7/4 is x=2.17904…+2pin,x=-2.17904…+2pin

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sec(x)=-7/4

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

x = 2.17904 \dots + 2 πn, x = - 2.17904 \dots + 2 πn

Degrees

x = 124.84990 \dots^{\circ} + 36 0^{\circ} n, x = - 124.84990 \dots^{\circ} + 36 0^{\circ} n

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

sec (x) = - a \Rightarrow x = arcsec (- a) + 2 πn, x = - arcsec (- a) + 2 πn

x = arcsec (- \frac{7}{4}) + 2 πn, x = - arcsec (- \frac{7}{4}) + 2 πn

x = arcsec (- \frac{7}{4}) + 2 πn, x = - arcsec (- \frac{7}{4}) + 2 πn

Show solutions in decimal form

x = 2.17904 \dots + 2 πn, x = - 2.17904 \dots + 2 πn

28 cos^{2} (θ) = 7

3 - cos (6 x) \cdot 6 = 0

sin (x) - cos (x) = 1, 0 \leq x \leq 36 0^{\circ}

cos (x) = 0, 6

cos (x) = 0, 5

What is the general solution for sec(x)=-7/4 ?
The general solution for sec(x)=-7/4 is x=2.17904…+2pin,x=-2.17904…+2pin