What is the general solution for tan(θ)= 83/47 ?

The general solution for tan(θ)= 83/47 is θ=1.05555…+pin

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tan(θ)= 83/47

tan (θ) = \frac{83}{47}

θ = 1.05555 \dots + πn

Degrees

θ = 60.47863 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{83}{47}

Apply trig inverse properties

tan (θ) = \frac{83}{47}

General solutions for

tan (θ) = \frac{83}{47}

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

θ = arctan (\frac{83}{47}) + πn

θ = arctan (\frac{83}{47}) + πn

Show solutions in decimal form

θ = 1.05555 \dots + πn

x, 2 sin (x) - cos (x) sin (x) = 0

5 = 5 sin (4 θ)

cos (x) = \frac{cos ( x )}{csc ( x )}

cos (θ) = \frac{1}{1 ^{2} + ( 4 ) ^{2} + 8 ^{2}}

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

What is the general solution for tan(θ)= 83/47 ?
The general solution for tan(θ)= 83/47 is θ=1.05555…+pin