What is the general solution for tan(θ)= 30/20 ?

The general solution for tan(θ)= 30/20 is θ=0.98279…+pin

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tan(θ)= 30/20

tan (θ) = \frac{30}{20}

θ = 0.98279 \dots + πn

Degrees

θ = 56.30993 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{30}{20}

Cancel the common factor:

10

tan (θ) = \frac{3}{2}

Apply trig inverse properties

tan (θ) = \frac{3}{2}

General solutions for

tan (θ) = \frac{3}{2}

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

θ = arctan (\frac{3}{2}) + πn

θ = arctan (\frac{3}{2}) + πn

Show solutions in decimal form

θ = 0.98279 \dots + πn

10 cos (θ) - 53 = 0

tan (θ) = \frac{8}{- 6}

tan (θ) = - 0.5

cos (x) \cdot sin (x) - 2 cos (x) = 0

sec (4 x) - \frac{2}{3} = 0

What is the general solution for tan(θ)= 30/20 ?
The general solution for tan(θ)= 30/20 is θ=0.98279…+pin