What is the general solution for tan(x)= 40/34 ?

The general solution for tan(x)= 40/34 is x=0.86630…+pin

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tan(x)= 40/34

tan (x) = \frac{40}{34}

x = 0.86630 \dots + πn

Degrees

x = 49.63546 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{40}{34}

Cancel the common factor:

2

tan (x) = \frac{20}{17}

Apply trig inverse properties

tan (x) = \frac{20}{17}

General solutions for

tan (x) = \frac{20}{17}

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

x = arctan (\frac{20}{17}) + πn

x = arctan (\frac{20}{17}) + πn

Show solutions in decimal form

x = 0.86630 \dots + πn

cot (b) = - 5

sin^{2} (x) - cos^{3} (x) = 0

1 = cot (θ)

arccos (2 x) = 0

cos (x + 3 0^{\circ}) = 0

What is the general solution for tan(x)= 40/34 ?
The general solution for tan(x)= 40/34 is x=0.86630…+pin