What is the general solution for 15tan(θ)-7=5tan(θ)-3 ?

The general solution for 15tan(θ)-7=5tan(θ)-3 is θ=0.38050…+pin

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15tan(θ)-7=5tan(θ)-3

15 tan (θ) - 7 = 5 tan (θ) - 3

θ = 0.38050 \dots + πn

Solution steps

15 tan (θ) - 7 = 5 tan (θ) - 3

Solve by substitution

tan (θ) = \frac{2}{5}

tan (θ) = \frac{2}{5} : θ = arctan (\frac{2}{5}) + πn

Combine all the solutions

θ = arctan (\frac{2}{5}) + πn

Show solutions in decimal form

θ = 0.38050 \dots + πn

sin^{2} (x) - 9 cos (x) + 9 = 0, 0 \leq x \leq 2 π

- 10 cos (2 x) - 32 cos (x) - 22 = 0

θ, sin (θ) = - \frac{3}{4}

tan (x) \cdot sec (x) = 2

cos (2 x + \frac{π}{3}) = sin (2 x)

What is the general solution for 15tan(θ)-7=5tan(θ)-3 ?
The general solution for 15tan(θ)-7=5tan(θ)-3 is θ=0.38050…+pin