What is the general solution for sec(θ)-4.905=0 ?

The general solution for sec(θ)-4.905=0 is θ=1.36548…+2pin,θ=2pi-1.36548…+2pin

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sec(θ)-4.905=0

sec (θ) - 4.905 = 0

θ = 1.36548 \dots + 2 πn, θ = 2 π - 1.36548 \dots + 2 πn

Degrees

θ = 78.23643 \dots^{\circ} + 36 0^{\circ} n, θ = 281.76356 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) - 4.905 = 0

Move

4.905

to the right side

sec (θ) - 4.905 = 0

Add

4.905

to both sides

sec (θ) - 4.905 + 4.905 = 0 + 4.905

Simplify

sec (θ) = 4.905

sec (θ) = 4.905

Apply trig inverse properties

sec (θ) = 4.905

General solutions for

sec (θ) = 4.905

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

θ = arcsec (4.905) + 2 πn, θ = 2 π - arcsec (4.905) + 2 πn

θ = arcsec (4.905) + 2 πn, θ = 2 π - arcsec (4.905) + 2 πn

Show solutions in decimal form

θ = 1.36548 \dots + 2 πn, θ = 2 π - 1.36548 \dots + 2 πn

csc (\frac{x}{2}) = 2

5 tan (b) + 7 = 2 tan (b) + 4

cot (x) = 1, 0 \leq x < 2 π

sin (4 x) cos (6 x) - cos (4 x) sin (6 x) = - 0.75

cos (2 x) = 0.685

What is the general solution for sec(θ)-4.905=0 ?
The general solution for sec(θ)-4.905=0 is θ=1.36548…+2pin,θ=2pi-1.36548…+2pin