What is the general solution for tan(θ)= 5/4 ?

The general solution for tan(θ)= 5/4 is θ=0.89605…+pin

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tan(θ)= 5/4

tan (θ) = \frac{5}{4}

θ = 0.89605 \dots + πn

Solution steps

tan (θ) = \frac{5}{4}

Apply trig inverse properties

θ = arctan (\frac{5}{4}) + πn

Show solutions in decimal form

θ = 0.89605 \dots + πn

2 cos (x) sin (x) - 3 sin (x) = 0

tan^{2} (θ) - 3 tan (θ) = 0

x, tan (x) = 0

cos (θ) = - sin (- θ)

sin (x) - 3 cos (x) = 3

What is the general solution for tan(θ)= 5/4 ?
The general solution for tan(θ)= 5/4 is θ=0.89605…+pin