What is the general solution for cot(x)= 40/32 ?

The general solution for cot(x)= 40/32 is x=0.67474…+pin

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cot(x)= 40/32

cot (x) = \frac{40}{32}

x = 0.67474 \dots + πn

Degrees

x = 38.65980 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (x) = \frac{40}{32}

Cancel the common factor:

8

cot (x) = \frac{5}{4}

Apply trig inverse properties

cot (x) = \frac{5}{4}

General solutions for

cot (x) = \frac{5}{4}

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

x = arccot (\frac{5}{4}) + πn

x = arccot (\frac{5}{4}) + πn

Show solutions in decimal form

x = 0.67474 \dots + πn

tan (a) = \frac{3}{8}

sin (2 x + 10) = cos (3 x - 20)

sin^{3} (x) = - \frac{2}{3}

x, tan^{2} (x) = tan^{2} (y)

2 cos^{2} (x) (1 + 2 cos^{2} (x)) = 2

What is the general solution for cot(x)= 40/32 ?
The general solution for cot(x)= 40/32 is x=0.67474…+pin