What is the general solution for tan(θ)= 50/60 ?

The general solution for tan(θ)= 50/60 is θ=0.69473…+pin

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tan(θ)= 50/60

tan (θ) = \frac{50}{60}

θ = 0.69473 \dots + πn

Solution steps

tan (θ) = \frac{50}{60}

Cancel the common factor:

10

tan (θ) = \frac{5}{6}

Apply trig inverse properties

θ = arctan (\frac{5}{6}) + πn

Show solutions in decimal form

θ = 0.69473 \dots + πn

x, tan^{2} (x) = \frac{3}{2} sec (x)

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

1 + 2 cot (θ) - 2 cot^{2} (θ) = - 3 cot^{2} (θ)

3 arctan (2 x) = π

sin (x) - 9 = cos (x) - 9

What is the general solution for tan(θ)= 50/60 ?
The general solution for tan(θ)= 50/60 is θ=0.69473…+pin