What is the general solution for tan(x)= 6/5 ?

The general solution for tan(x)= 6/5 is x=0.87605…+pin

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tan(x)= 6/5

tan (x) = \frac{6}{5}

x = 0.87605 \dots + πn

Solution steps

tan (x) = \frac{6}{5}

Apply trig inverse properties

x = arctan (\frac{6}{5}) + πn

Show solutions in decimal form

x = 0.87605 \dots + πn

2 csc^{2} (x) + csc (x) = 2

cos (x) tan^{2} (x) = 3 cos (x)

cos (x) = 0.52

sec^{2} (x) - 2 sec (x) = 0

- 9 tan^{2} (θ) - 1 = - 6 tan (θ)

What is the general solution for tan(x)= 6/5 ?
The general solution for tan(x)= 6/5 is x=0.87605…+pin