What is the general solution for tan(x)=-5/3 ?

The general solution for tan(x)=-5/3 is x=-1.03037…+pin

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tan(x)=-5/3

tan (x) = - \frac{5}{3}

x = - 1.03037 \dots + πn

Degrees

x = - 59.03624 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = - \frac{5}{3}

Apply trig inverse properties

tan (x) = - \frac{5}{3}

General solutions for

tan (x) = - \frac{5}{3}

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

x = arctan (- \frac{5}{3}) + πn

x = arctan (- \frac{5}{3}) + πn

Show solutions in decimal form

x = - 1.03037 \dots + πn

3 sin (θ) + 4 cos (θ) = 3

cos (x) = \frac{- 5}{13}

1 = 3 cos (2 θ)

2 = 2 cos (θ)

4 sin (x) = 4 sin (2 x)

What is the general solution for tan(x)=-5/3 ?
The general solution for tan(x)=-5/3 is x=-1.03037…+pin