What is the general solution for cot(θ)=0.75 ?

The general solution for cot(θ)=0.75 is θ=0.92729…+pin

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cot(θ)=0.75

cot (θ) = 0.75

θ = 0.92729 \dots + πn

Degrees

θ = 53.13010 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (θ) = 0.75

Apply trig inverse properties

cot (θ) = 0.75

General solutions for

cot (θ) = 0.75

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

θ = arccot (0.75) + πn

θ = arccot (0.75) + πn

Show solutions in decimal form

θ = 0.92729 \dots + πn

6 sin (x) - 2 cos (x) = 2

3 - 3 sin (x) = 6 cos^{2} (x)

- 2 tan^{2} (θ) + 2 tan (θ) + 1 = 3 tan (θ)

cos (x) = \frac{60}{61}, tan (x) = \frac{11}{60}

sin (x) = - 2 sin (x)

What is the general solution for cot(θ)=0.75 ?
The general solution for cot(θ)=0.75 is θ=0.92729…+pin