What is the general solution for cos(θ)= 7/25 ?

The general solution for cos(θ)= 7/25 is θ=1.28700…+2pin,θ=2pi-1.28700…+2pin

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cos(θ)= 7/25

cos (θ) = \frac{7}{25}

θ = 1.28700 \dots + 2 πn, θ = 2 π - 1.28700 \dots + 2 πn

Degrees

θ = 73.73979 \dots^{\circ} + 36 0^{\circ} n, θ = 286.26020 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{7}{25}

Apply trig inverse properties

cos (θ) = \frac{7}{25}

General solutions for

cos (θ) = \frac{7}{25}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

θ = arccos (\frac{7}{25}) + 2 πn, θ = 2 π - arccos (\frac{7}{25}) + 2 πn

θ = arccos (\frac{7}{25}) + 2 πn, θ = 2 π - arccos (\frac{7}{25}) + 2 πn

Show solutions in decimal form

θ = 1.28700 \dots + 2 πn, θ = 2 π - 1.28700 \dots + 2 πn

2 tan^{2} (θ) sin (θ) - tan^{2} (θ) = 0

sin^{2} (x) = - 3 sin (x) + 4

tan^{2} (x) csc (x) = tan^{2} (x)

12.3 = 2.3 sin (24 x) + 14.1

7 sec^{2} (x) - 7 = 0

What is the general solution for cos(θ)= 7/25 ?
The general solution for cos(θ)= 7/25 is θ=1.28700…+2pin,θ=2pi-1.28700…+2pin