What is the general solution for tan(θ)= 6/8 ?

The general solution for tan(θ)= 6/8 is θ=0.64350…+pin

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tan(θ)= 6/8

tan (θ) = \frac{6}{8}

θ = 0.64350 \dots + πn

Degrees

θ = 36.86989 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{6}{8}

Cancel the common factor:

2

tan (θ) = \frac{3}{4}

Apply trig inverse properties

tan (θ) = \frac{3}{4}

General solutions for

tan (θ) = \frac{3}{4}

tan (x) = a \Rightarrow x = arctan (a) + πn

θ = arctan (\frac{3}{4}) + πn

θ = arctan (\frac{3}{4}) + πn

Show solutions in decimal form

θ = 0.64350 \dots + πn

sec (x) = - 3.5

(sin (x) - 1) = cos (x)

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

cos (x) = 0.96

2 sin (3 x) + 3 = 0

What is the general solution for tan(θ)= 6/8 ?
The general solution for tan(θ)= 6/8 is θ=0.64350…+pin