What is the general solution for tan(θ)-4=0 ?

The general solution for tan(θ)-4=0 is θ=1.32581…+pin

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tan(θ)-4=0

tan (θ) - 4 = 0

θ = 1.32581 \dots + πn

Degrees

θ = 75.96375 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) - 4 = 0

Move

4

to the right side

tan (θ) - 4 = 0

Add

4

to both sides

tan (θ) - 4 + 4 = 0 + 4

Simplify

tan (θ) = 4

tan (θ) = 4

Apply trig inverse properties

tan (θ) = 4

General solutions for

tan (θ) = 4

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

θ = arctan (4) + πn

θ = arctan (4) + πn

Show solutions in decimal form

θ = 1.32581 \dots + πn

(- 5 cos (x) - 6 sin (x))^{2} - 11 sin^{2} (x) = 25

sec^{2} (x) + \frac{1}{2} \cdot sec (x) = 0

2 sin^{2} (x) - 9 sin (x) - 5 = 0

2 sin (a) - 3 = 0

sin (x) = - \frac{3}{2}

What is the general solution for tan(θ)-4=0 ?
The general solution for tan(θ)-4=0 is θ=1.32581…+pin