What is the general solution for 100tan(x)-8=50tan(x) ?

The general solution for 100tan(x)-8=50tan(x) is x=0.15865…+pin

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100tan(x)-8=50tan(x)

100 tan (x) - 8 = 50 tan (x)

x = 0.15865 \dots + πn

Solution steps

100 tan (x) - 8 = 50 tan (x)

Solve by substitution

tan (x) = \frac{4}{25}

tan (x) = \frac{4}{25} : x = arctan (\frac{4}{25}) + πn

Combine all the solutions

x = arctan (\frac{4}{25}) + πn

Show solutions in decimal form

x = 0.15865 \dots + πn

cos (θ) + sin (θ) = 1

2 cos (3 x) = - 1

6 sin (\frac{θ}{2}) = - 6 cos (\frac{θ}{2})

csc (θ) = - \frac{4}{3}

9 sin^{2} (θ) + 3 cos (θ) - 9 = - 2

What is the general solution for 100tan(x)-8=50tan(x) ?
The general solution for 100tan(x)-8=50tan(x) is x=0.15865…+pin