What is the general solution for cot(θ)=(sqrt(2))/2 ?

The general solution for cot(θ)=(sqrt(2))/2 is θ=0.95531…+pin

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cot(θ)=(sqrt(2))/2

cot (θ) = \frac{2}{2}

θ = 0.95531 \dots + πn

Degrees

θ = 54.73561 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (θ) = \frac{2}{2}

Apply trig inverse properties

cot (θ) = \frac{2}{2}

General solutions for

cot (θ) = \frac{2}{2}

cot (x) = a \Rightarrow x = arccot (a) + πn

θ = arccot (\frac{2}{2}) + πn

θ = arccot (\frac{2}{2}) + πn

Show solutions in decimal form

θ = 0.95531 \dots + πn

cos (5 0^{\circ} + x) = sin (2 x - 6)

sin (x) = 0.9205

sin^{2} (x) + 3 sin (x) = - 2, 0 \leq x \leq 2 π

x, - cos (x) = - sin^{2} (x) - 1

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

What is the general solution for cot(θ)=(sqrt(2))/2 ?
The general solution for cot(θ)=(sqrt(2))/2 is θ=0.95531…+pin