What is the general solution for cot(x)-cot(33.47)= 1485/2460 ?

The general solution for cot(x)-cot(33.47)= 1485/2460 is x=0.44144…+180n

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cot(x)-cot(33.47)= 1485/2460

cot (x) - cot (33.4 7^{\circ}) = \frac{1485}{2460}

x = 0.44144 \dots + 18 0^{\circ} n

Radians

x = 0.44144 \dots + πn

Solution steps

cot (x) - cot (33.4 7^{\circ}) = \frac{1485}{2460}

Cancel the common factor:

15

cot (x) - cot (33.46998 \dots^{\circ}) = \frac{99}{164}

Move

cot (33.46998 \dots^{\circ})

to the right side

cot (x) - cot (33.46998 \dots^{\circ}) = \frac{99}{164}

Add

cot (33.46998 \dots^{\circ})

to both sides

cot (x) - cot (33.46998 \dots^{\circ}) + cot (33.46998 \dots^{\circ}) = \frac{99}{164} + cot (33.46998 \dots^{\circ})

Simplify

cot (x) = \frac{99}{164} + cot (33.46998 \dots^{\circ})

cot (x) = \frac{99}{164} + cot (33.46998 \dots^{\circ})

Apply trig inverse properties

cot (x) = \frac{99}{164} + cot (33.46998 \dots^{\circ})

General solutions for

cot (x) = \frac{99}{164} + cot (33.46998 \dots^{\circ})

cot (x) = a \Rightarrow x = arccot (a) + 18 0^{\circ} n

x = arccot (\frac{99}{164} + cot (33.46998 \dots^{\circ})) + 18 0^{\circ} n

x = arccot (\frac{99}{164} + cot (33.46998 \dots^{\circ})) + 18 0^{\circ} n

Show solutions in decimal form

x = 0.44144 \dots + 18 0^{\circ} n

3 + \frac{1}{5} cos (\frac{θ}{3} + \frac{7 π}{4}) = 3

sin (θ) = - \frac{13}{7}

- 2 sin (x) = - 2

sin (π - x) = cos (\frac{3 π}{2} - x) + cos (π)

4 csc (x) + 8 = 0

What is the general solution for cot(x)-cot(33.47)= 1485/2460 ?
The general solution for cot(x)-cot(33.47)= 1485/2460 is x=0.44144…+180n