What is the general solution for 8tan(θ)-sqrt(54)=0 ?

The general solution for 8tan(θ)-sqrt(54)=0 is θ=0.74297…+pin

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8tan(θ)-sqrt(54)=0

8 tan (θ) - 54 = 0

θ = 0.74297 \dots + πn

Solution steps

8 tan (θ) - 54 = 0

Simplify

8 tan (θ) - 54 : 8 tan (θ) - 36

8 tan (θ) - 36 = 0

Move

36

to the right side

8 tan (θ) = 36

Divide both sides by

8

tan (θ) = \frac{3 6}{8}

Apply trig inverse properties

θ = arctan (\frac{3 6}{8}) + πn

Show solutions in decimal form

θ = 0.74297 \dots + πn

3 sin^{2} (x) - 3 = 0

tan (2 x + \frac{π}{3}) = 3

tan (θ) = - 8

2 cos (2 θ) + 7 sin (θ) - 2 = - 2

tan (θ) = 19

What is the general solution for 8tan(θ)-sqrt(54)=0 ?
The general solution for 8tan(θ)-sqrt(54)=0 is θ=0.74297…+pin