What is the general solution for 4.718tan^2(θ)-13.75tan(θ)+8.018=0 ?

The general solution for 4.718tan^2(θ)-13.75tan(θ)+8.018=0 is θ=1.12790…+pin,θ=0.67843…+pin

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4.718tan^2(θ)-13.75tan(θ)+8.018=0

4.718 tan^{2} (θ) - 13.75 tan (θ) + 8.018 = 0

θ = 1.12790 \dots + πn, θ = 0.67843 \dots + πn

Solution steps

4.718 tan^{2} (θ) - 13.75 tan (θ) + 8.018 = 0

Solve by substitution

tan (θ) = \frac{6875 + 9436701}{4718}, tan (θ) = \frac{6875 - 9436701}{4718}

tan (θ) = \frac{6875 + 9436701}{4718} : θ = arctan (\frac{6875 + 9436701}{4718}) + πn

tan (θ) = \frac{6875 - 9436701}{4718} : θ = arctan (\frac{6875 - 9436701}{4718}) + πn

Combine all the solutions

θ = arctan (\frac{6875 + 9436701}{4718}) + πn, θ = arctan (\frac{6875 - 9436701}{4718}) + πn

Show solutions in decimal form

θ = 1.12790 \dots + πn, θ = 0.67843 \dots + πn

62 cos (θ) + 1 = 7

sin (x) = 0.48

sin (x) = 0.44

u, tan (u) + cot (u) = \frac{1}{f}

tan (3 x) + 3 = 0

What is the general solution for 4.718tan^2(θ)-13.75tan(θ)+8.018=0 ?
The general solution for 4.718tan^2(θ)-13.75tan(θ)+8.018=0 is θ=1.12790…+pin,θ=0.67843…+pin