What is the general solution for cot(a)= 5/7 ?

The general solution for cot(a)= 5/7 is a=0.95054…+pin

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cot(a)= 5/7

cot (a) = \frac{5}{7}

a = 0.95054 \dots + πn

Degrees

a = 54.46232 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (a) = \frac{5}{7}

Apply trig inverse properties

cot (a) = \frac{5}{7}

General solutions for

cot (a) = \frac{5}{7}

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

a = arccot (\frac{5}{7}) + πn

a = arccot (\frac{5}{7}) + πn

Show solutions in decimal form

a = 0.95054 \dots + πn

2 cos^{2} (x - 1) = 0

\frac{1}{cot ^{2} ( x )} + \frac{3}{cot ( x )} = 0

b, \frac{sin ( 6 5 ^{\circ} )}{14} = \frac{sin ( b )}{9}

4 sin (θ) = sin (2 θ)

2 sin (3 x + \frac{3 π}{2}) = 1

What is the general solution for cot(a)= 5/7 ?
The general solution for cot(a)= 5/7 is a=0.95054…+pin