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Popular >

(cot(θ)-sqrt(3))(sqrt(2)sin(θ)+1)=0

Solution

(cot (θ) - 3) (2 sin (θ) + 1) = 0

Solution

θ = \frac{π}{6} + πn, θ = \frac{5 π}{4} + 2 πn, θ = \frac{7 π}{4} + 2 πn

+1

Solution steps

(cot (θ) - 3) (2 sin (θ) + 1) = 0

Solving each part separately

cot (θ) - 3 = 0 or 2 sin (θ) + 1 = 0

cot (θ) - 3 = 0 : θ = \frac{π}{6} + πn

2 sin (θ) + 1 = 0 : θ = \frac{5 π}{4} + 2 πn, θ = \frac{7 π}{4} + 2 πn

Combine all the solutions

θ = \frac{π}{6} + πn, θ = \frac{5 π}{4} + 2 πn, θ = \frac{7 π}{4} + 2 πn

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