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Popular >

8=8tan(θ)

Solution

8 = 8 tan (θ)

Solution

θ = \frac{π}{4} + πn

+1

Degrees

θ = 4 5^{\circ} + 18 0^{\circ} n

Solution steps

8 = 8 tan (θ)

Switch sides

8 tan (θ) = 8

Divide both sides by

8

8 tan (θ) = 8

Divide both sides by

8

\frac{8 tan ( θ )}{8} = \frac{8}{8}

Simplify

tan (θ) = 1

tan (θ) = 1

General solutions for

tan (θ) = 1

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

θ = \frac{π}{4} + πn

θ = \frac{π}{4} + πn

Popular Examples

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

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

4cos(θ)=2cos(θ)

4 cos (θ) = 2 cos (θ)

2 cos (θ) = - 2

solvefor x,cos(2x)+2/(cos(2x))+3=0 solve for

x, cos (2 x) + \frac{2}{cos ( 2 x )} + 3 = 0

sin(t)=(250)/(sqrt(250^2+300^2))

sin (t) = \frac{250}{25 0 ^{2} + 30 0 ^{2}}

Frequently Asked Questions (FAQ)

What is the general solution for 8=8tan(θ) ?
The general solution for 8=8tan(θ) is θ= pi/4+pin