What is the general solution for 41412/194874 =tan(θ) ?

The general solution for 41412/194874 =tan(θ) is θ=0.20939…+pin

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41412/194874 =tan(θ)

\frac{41412}{194874} = tan (θ)

θ = 0.20939 \dots + πn

Degrees

θ = 11.99725 \dots^{\circ} + 18 0^{\circ} n

Solution steps

\frac{41412}{194874} = tan (θ)

Switch sides

tan (θ) = \frac{41412}{194874}

Cancel the common factor:

6

tan (θ) = \frac{6902}{32479}

Apply trig inverse properties

tan (θ) = \frac{6902}{32479}

General solutions for

tan (θ) = \frac{6902}{32479}

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

θ = arctan (\frac{6902}{32479}) + πn

θ = arctan (\frac{6902}{32479}) + πn

Show solutions in decimal form

θ = 0.20939 \dots + πn

4 cos (β) sin (β) + 2 sin (β) - 2 cos (β) - 1 = 0

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

cos (x) = \frac{1 + cos ( x )}{2}

cos (x) = \frac{1 + cos ( x )}{2}

sin (\frac{x}{2}) + \frac{3}{2} = 0

What is the general solution for 41412/194874 =tan(θ) ?
The general solution for 41412/194874 =tan(θ) is θ=0.20939…+pin