What is the general solution for tan(θ)+2=0 ?

The general solution for tan(θ)+2=0 is θ=-1.10714…+pin

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tan(θ)+2=0

tan (θ) + 2 = 0

θ = - 1.10714 \dots + πn

Solution steps

tan (θ) + 2 = 0

Move

2

to the right side

tan (θ) = - 2

Apply trig inverse properties

θ = arctan (- 2) + πn

Show solutions in decimal form

θ = - 1.10714 \dots + πn

2 sin (2 x) + cos (2 x) = 0

sin (2 x + \frac{π}{3}) = 0

300 = \frac{1}{32} 10 0^{2} sin (2 x)

sin^{2} (x) = \frac{45}{52}

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

What is the general solution for tan(θ)+2=0 ?
The general solution for tan(θ)+2=0 is θ=-1.10714…+pin