What is the general solution for tan(θ)= 14/20 ?

The general solution for tan(θ)= 14/20 is θ=0.61072…+pin

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tan(θ)= 14/20

tan (θ) = \frac{14}{20}

θ = 0.61072 \dots + πn

Degrees

θ = 34.99202 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{14}{20}

Cancel the common factor:

2

tan (θ) = \frac{7}{10}

Apply trig inverse properties

tan (θ) = \frac{7}{10}

General solutions for

tan (θ) = \frac{7}{10}

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

θ = arctan (\frac{7}{10}) + πn

θ = arctan (\frac{7}{10}) + πn

Show solutions in decimal form

θ = 0.61072 \dots + πn

2 cos^{2} (2 θ) + sin (2 θ) = 1, - 18 0^{\circ} \leq θ \leq 18 0^{\circ}

3 cos (4 x) - 2 = \frac{3}{2} sin (8 x) - 2

4 \cdot cos (x) sin (x) + 3 \cdot cos (x) = 0

(cot (x)) (tan (x) - 1) = 0

10 tan (θ) sec (θ) = 10 cot (θ) csc (θ)

What is the general solution for tan(θ)= 14/20 ?
The general solution for tan(θ)= 14/20 is θ=0.61072…+pin