What is the general solution for 5tan^2(x)-7=8 ?

The general solution for 5tan^2(x)-7=8 is x= pi/3+pin,x=(2pi)/3+pin

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5tan^2(x)-7=8

5 tan^{2} (x) - 7 = 8

x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

Solution steps

5 tan^{2} (x) - 7 = 8

Solve by substitution

tan (x) = 3, tan (x) = - 3

tan (x) = 3 : x = \frac{π}{3} + πn

tan (x) = - 3 : x = \frac{2 π}{3} + πn

Combine all the solutions

x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

3 sin (2 y) - 4 sin (2 y) cos (2 y) = 0

sin (x) + sin (4 x) = 0

cos (0.568 x - 2.595) = 0

8 tan (- x + \frac{π}{8}) = 8

tan (\frac{A}{2}) = 0.62

What is the general solution for 5tan^2(x)-7=8 ?
The general solution for 5tan^2(x)-7=8 is x= pi/3+pin,x=(2pi)/3+pin