What is the general solution for sec(s)=1.5702 ?

The general solution for sec(s)=1.5702 is s=0.88037…+2pin,s=2pi-0.88037…+2pin

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sec(s)=1.5702

sec (s) = 1.5702

s = 0.88037 \dots + 2 πn, s = 2 π - 0.88037 \dots + 2 πn

Degrees

s = 50.44181 \dots^{\circ} + 36 0^{\circ} n, s = 309.55818 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (s) = 1.5702

Apply trig inverse properties

sec (s) = 1.5702

General solutions for

sec (s) = 1.5702

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

s = arcsec (1.5702) + 2 πn, s = 2 π - arcsec (1.5702) + 2 πn

s = arcsec (1.5702) + 2 πn, s = 2 π - arcsec (1.5702) + 2 πn

Show solutions in decimal form

s = 0.88037 \dots + 2 πn, s = 2 π - 0.88037 \dots + 2 πn

10 sin^{2} (x) = 5

3 sin (2 θ) = 0

sin (x + \frac{π}{3}) + sin (x - \frac{π}{3}) = 1, 0 \leq x \leq 2 π

2 sin (\frac{1}{4} x) - 1 = 0

1 = 2 cos (θ)

What is the general solution for sec(s)=1.5702 ?
The general solution for sec(s)=1.5702 is s=0.88037…+2pin,s=2pi-0.88037…+2pin