What is the general solution for tan(θ)= 8/20 ?

The general solution for tan(θ)= 8/20 is θ=0.38050…+pin

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tan(θ)= 8/20

tan (θ) = \frac{8}{20}

θ = 0.38050 \dots + πn

Degrees

θ = 21.80140 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{8}{20}

Cancel the common factor:

4

tan (θ) = \frac{2}{5}

Apply trig inverse properties

tan (θ) = \frac{2}{5}

General solutions for

tan (θ) = \frac{2}{5}

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

θ = arctan (\frac{2}{5}) + πn

θ = arctan (\frac{2}{5}) + πn

Show solutions in decimal form

θ = 0.38050 \dots + πn

cos^{2} (x) = \frac{( 5 k - 8 )}{5}

3 arcsin (x) = \frac{π}{2}

3 cos^{2} (x) - 1 = sin^{2} (x) + 2 sin (x)

arctan (x) = 26

(4 sin^{2} (x) - 3) (cos (x) - 1) = 0

What is the general solution for tan(θ)= 8/20 ?
The general solution for tan(θ)= 8/20 is θ=0.38050…+pin