What is the general solution for sec(a)= 38/13 ?

The general solution for sec(a)= 38/13 is a=1.22163…+2pin,a=2pi-1.22163…+2pin

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sec(a)= 38/13

sec (a) = \frac{38}{13}

a = 1.22163 \dots + 2 πn, a = 2 π - 1.22163 \dots + 2 πn

Degrees

a = 69.99480 \dots^{\circ} + 36 0^{\circ} n, a = 290.00519 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (a) = \frac{38}{13}

Apply trig inverse properties

sec (a) = \frac{38}{13}

General solutions for

sec (a) = \frac{38}{13}

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

a = arcsec (\frac{38}{13}) + 2 πn, a = 2 π - arcsec (\frac{38}{13}) + 2 πn

a = arcsec (\frac{38}{13}) + 2 πn, a = 2 π - arcsec (\frac{38}{13}) + 2 πn

Show solutions in decimal form

a = 1.22163 \dots + 2 πn, a = 2 π - 1.22163 \dots + 2 πn

tan (c) = 0.6538

(sec^{2} (a)) cos^{2} (a) = sin^{2} (a)

- 2 sin (x) + 5 sin^{2} (x) = 0

3 \cdot tan^{2} (x) - 1 = 0

cos^{4} (x) = \frac{sin ^{2} ( x ) - 1}{4}

What is the general solution for sec(a)= 38/13 ?
The general solution for sec(a)= 38/13 is a=1.22163…+2pin,a=2pi-1.22163…+2pin