What is the general solution for cot(θ)=-7/5 ,(3pi)/2 <θ<2pi,tan(θ) ?

The general solution for cot(θ)=-7/5 ,(3pi)/2 <θ<2pi,tan(θ) is θ=2.52134…+pi

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cot(θ)=-7/5 ,(3pi)/2 <θ<2pi,tan(θ)

cot (θ) = - \frac{7}{5}, \frac{3 π}{2} < θ < 2 π, tan (θ)

θ = 2.52134 \dots + π

Degrees

θ = 324.46232 \dots^{\circ}

Solution steps

cot (θ) = - \frac{7}{5}, \frac{3 π}{2} < θ < 2 π, tan (θ)

Apply trig inverse properties

cot (θ) = - \frac{7}{5}

General solutions for

cot (θ) = - \frac{7}{5}

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

θ = arccot (- \frac{7}{5}) + πn

θ = arccot (- \frac{7}{5}) + πn

Solutions for the range

\frac{3 π}{2} < θ < 2 π

θ = arccot (- \frac{7}{5}) + π

Show solutions in decimal form

θ = 2.52134 \dots + π

sin (r) = 0.58

sec (α) = \frac{9}{5}

cos^{2} (x) + sin (x) = \frac{5}{4}

\frac{8.87}{9.8} = sin (α) - 0.1 1 - sin^{2} (α)

tan (x) cos (x) + tan (x) = 0

What is the general solution for cot(θ)=-7/5 ,(3pi)/2 <θ<2pi,tan(θ) ?
The general solution for cot(θ)=-7/5 ,(3pi)/2 <θ<2pi,tan(θ) is θ=2.52134…+pi