What is the general solution for tan(x)=(6.1)/4 ?

The general solution for tan(x)=(6.1)/4 is x=0.99039…+pin

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tan(x)=(6.1)/4

tan (x) = \frac{6.1}{4}

x = 0.99039 \dots + πn

Degrees

x = 56.74563 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{6.1}{4}

Apply trig inverse properties

tan (x) = \frac{6.1}{4}

General solutions for

tan (x) = \frac{6.1}{4}

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

x = arctan (\frac{6.1}{4}) + πn

x = arctan (\frac{6.1}{4}) + πn

Show solutions in decimal form

x = 0.99039 \dots + πn

4 cos (θ) = 4 - 4 cos (θ)

sin^{2} (x) + 6 sin (x) + 5 = 0

cos (x) = \frac{1}{3}, 0 < x < \frac{π}{2}

3 + 2 sin (θ) = 3 + 2 cos (θ)

\frac{sin ( x )}{cos ( x )} = \frac{1}{3}

What is the general solution for tan(x)=(6.1)/4 ?
The general solution for tan(x)=(6.1)/4 is x=0.99039…+pin