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Popular >

(cot(θ)-1)(2sin(θ)+sqrt(3))=0

Solution

(cot (θ) - 1) (2 sin (θ) + 3) = 0

Solution

θ = \frac{π}{4} + πn, θ = \frac{4 π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

+1

Solution steps

(cot (θ) - 1) (2 sin (θ) + 3) = 0

Solving each part separately

cot (θ) - 1 = 0 or 2 sin (θ) + 3 = 0

cot (θ) - 1 = 0 : θ = \frac{π}{4} + πn

2 sin (θ) + 3 = 0 : θ = \frac{4 π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

Combine all the solutions

θ = \frac{π}{4} + πn, θ = \frac{4 π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

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Frequently Asked Questions (FAQ)

What is the general solution for (cot(θ)-1)(2sin(θ)+sqrt(3))=0 ?
The general solution for (cot(θ)-1)(2sin(θ)+sqrt(3))=0 is θ= pi/4+pin,θ=(4pi)/3+2pin,θ=(5pi)/3+2pin