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

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

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5tan^2(A)-7=8

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

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

Solution steps

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

Solve by substitution

tan (A) = 3, tan (A) = - 3

tan (A) = 3 : A = \frac{π}{3} + πn

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

Combine all the solutions

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

tan (x) = \frac{28}{16}

2 sin^{2} (x) = 3 - sin (x)

9 tan (2 x) - 18 cos (x) = 0

8 cos (2 t) - 14 sin (2 t) = 0

1 - 2 sin (θ) = 0

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