What is the general solution for tan(θ)= 300/400 ?

The general solution for tan(θ)= 300/400 is θ=0.64350…+pin

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tan(θ)= 300/400

tan (θ) = \frac{300}{400}

θ = 0.64350 \dots + πn

Degrees

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

Solution steps

tan (θ) = \frac{300}{400}

Cancel the common factor:

100

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

2 cot^{2} (3 x) = 5 csc (3 x) - 4

cos (x) = \frac{- 3}{3}

cos (9 x) = \frac{1}{2}

tan (2 θ) = - 3, 0^{\circ} \leq θ \leq 36 0^{\circ}

0 = tan (c)

What is the general solution for tan(θ)= 300/400 ?
The general solution for tan(θ)= 300/400 is θ=0.64350…+pin