What is the general solution for tan(x)= 160/85 ?

The general solution for tan(x)= 160/85 is x=1.08246…+pin

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tan(x)= 160/85

tan (x) = \frac{160}{85}

x = 1.08246 \dots + πn

Degrees

x = 62.02052 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{160}{85}

Cancel the common factor:

5

tan (x) = \frac{32}{17}

Apply trig inverse properties

tan (x) = \frac{32}{17}

General solutions for

tan (x) = \frac{32}{17}

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

x = arctan (\frac{32}{17}) + πn

x = arctan (\frac{32}{17}) + πn

Show solutions in decimal form

x = 1.08246 \dots + πn

sin (x) a = π

sin (5 x) + sin (x) = 0

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

2 tan (x) = 0

5 cos (2 θ) = 15 cos (θ) - 10

What is the general solution for tan(x)= 160/85 ?
The general solution for tan(x)= 160/85 is x=1.08246…+pin