What is the general solution for 10tan(a)+8=5tan(a)+3 ?

The general solution for 10tan(a)+8=5tan(a)+3 is a=(3pi)/4+pin

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10tan(a)+8=5tan(a)+3

10 tan (a) + 8 = 5 tan (a) + 3

a = \frac{3 π}{4} + πn

Solution steps

10 tan (a) + 8 = 5 tan (a) + 3

Solve by substitution

tan (a) = - 1

tan (a) = - 1 : a = \frac{3 π}{4} + πn

Combine all the solutions

a = \frac{3 π}{4} + πn

cos (x) csc (x) = - 2 cos (x)

cos (2 x) + cos (4 x) = 0

2 sin (\frac{x}{3}) = 1

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

sec (x) = \frac{2 3}{2}

What is the general solution for 10tan(a)+8=5tan(a)+3 ?
The general solution for 10tan(a)+8=5tan(a)+3 is a=(3pi)/4+pin