What is the general solution for tan(θ)=-9/7 ?

The general solution for tan(θ)=-9/7 is θ=-0.90975…+pin

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tan(θ)=-9/7

tan (θ) = - \frac{9}{7}

θ = - 0.90975 \dots + πn

Degrees

θ = - 52.12501 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = - \frac{9}{7}

Apply trig inverse properties

tan (θ) = - \frac{9}{7}

General solutions for

tan (θ) = - \frac{9}{7}

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

θ = arctan (- \frac{9}{7}) + πn

θ = arctan (- \frac{9}{7}) + πn

Show solutions in decimal form

θ = - 0.90975 \dots + πn

sin (x) = 0.3437

16 sin^{2} (x) = 16 - 8 cos (x)

- 2 cos (x) - 3 sin (x) = 0

0.05 = \frac{sinh ( \frac{x}{2} )}{sinh ( x )}

1 + sin (x) = 3 cos (x)

What is the general solution for tan(θ)=-9/7 ?
The general solution for tan(θ)=-9/7 is θ=-0.90975…+pin