What is the general solution for 5tan(θ)-4=0 ?

The general solution for 5tan(θ)-4=0 is θ=0.67474…+pin

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5tan(θ)-4=0

5 tan (θ) - 4 = 0

θ = 0.67474 \dots + πn

Solution steps

5 tan (θ) - 4 = 0

Move

4

to the right side

5 tan (θ) = 4

Divide both sides by

5

tan (θ) = \frac{4}{5}

Apply trig inverse properties

θ = arctan (\frac{4}{5}) + πn

Show solutions in decimal form

θ = 0.67474 \dots + πn

0 = cos (\frac{x}{2})

3 cos (x) - 1 = cos (2 x)

7 cos^{2} (θ) - 9 = - 9 sin (θ)

y, arcsin (y) = x

- 4 cos (2 θ) - 3 cos (θ) - 4 = - 2 cos (θ) - 7

What is the general solution for 5tan(θ)-4=0 ?
The general solution for 5tan(θ)-4=0 is θ=0.67474…+pin