What is the general solution for 3tan(θ)+10=0 ?

The general solution for 3tan(θ)+10=0 is θ=-1.27933…+pin

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3tan(θ)+10=0

3 tan (θ) + 10 = 0

θ = - 1.27933 \dots + πn

Solution steps

3 tan (θ) + 10 = 0

Move

10

to the right side

3 tan (θ) = - 10

Divide both sides by

3

tan (θ) = - \frac{10}{3}

Apply trig inverse properties

θ = arctan (- \frac{10}{3}) + πn

Show solutions in decimal form

θ = - 1.27933 \dots + πn

sin^{2} (θ) = 6 (cos (- θ) - 1)

- 2 cos (2 θ) + 3 sin (θ) + 4 = 3

5 tan^{2} (x) - 3 tan (x) - 2 = 0

- 2 sin (θ) (1 + cos (θ)) = 0

2 sec^{2} (2 x) = 3 tan (2 x) + 1

What is the general solution for 3tan(θ)+10=0 ?
The general solution for 3tan(θ)+10=0 is θ=-1.27933…+pin