What is the general solution for cot(θ-pi/2)=1.07 ?

The general solution for cot(θ-pi/2)=1.07 is θ=0.75159…+pin+pi/2

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cot(θ-pi/2)=1.07

cot (θ - \frac{π}{2}) = 1.07

θ = 0.75159 \dots + πn + \frac{π}{2}

Degrees

θ = 133.06319 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (θ - \frac{π}{2}) = 1.07

Apply trig inverse properties

cot (θ - \frac{π}{2}) = 1.07

General solutions for

cot (θ - \frac{π}{2}) = 1.07

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

θ - \frac{π}{2} = arccot (1.07) + πn

θ - \frac{π}{2} = arccot (1.07) + πn

Solve

θ - \frac{π}{2} = arccot (1.07) + πn : θ = arccot (1.07) + πn + \frac{π}{2}

θ - \frac{π}{2} = arccot (1.07) + πn

Move

\frac{π}{2}

to the right side

θ - \frac{π}{2} = arccot (1.07) + πn

Add

\frac{π}{2}

to both sides

θ - \frac{π}{2} + \frac{π}{2} = arccot (1.07) + πn + \frac{π}{2}

Simplify

θ = arccot (1.07) + πn + \frac{π}{2}

θ = arccot (1.07) + πn + \frac{π}{2}

θ = arccot (1.07) + πn + \frac{π}{2}

Show solutions in decimal form

θ = 0.75159 \dots + πn + \frac{π}{2}

2 sin (x) = 1, x \geq 2 π, 0

2^{a r c c o s (x)} + 4^{a r c c o s (x) + 1} - 2 = 3

csc (θ) cos (θ) sin (θ) = 1

3 cos (x) + sin (2 x) = 0

tan (α) = 0.875

What is the general solution for cot(θ-pi/2)=1.07 ?
The general solution for cot(θ-pi/2)=1.07 is θ=0.75159…+pin+pi/2