What is the general solution for 4tan(x)-7=3tan(x)-6 ?

The general solution for 4tan(x)-7=3tan(x)-6 is x= pi/4+pin

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4tan(x)-7=3tan(x)-6

4 tan (x) - 7 = 3 tan (x) - 6

x = \frac{π}{4} + πn

Solution steps

4 tan (x) - 7 = 3 tan (x) - 6

Solve by substitution

tan (x) = 1

tan (x) = 1 : x = \frac{π}{4} + πn

Combine all the solutions

x = \frac{π}{4} + πn

- 6 cos (2 θ) + 2 cos (θ) + 2 = 3 cos (θ)

23 cos (2 θ) = - 3

tan (a) = (- \frac{1}{4}), sec (a)

2 sin^{2} (x) + 1 = 0

sin (x + \frac{π}{4}) - sin (x - \frac{π}{4}) = 0

What is the general solution for 4tan(x)-7=3tan(x)-6 ?
The general solution for 4tan(x)-7=3tan(x)-6 is x= pi/4+pin