Question

$\cot(3x) = \cot(30 + x)$
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Answer 1

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Answer 2

Step-by-step explanation:

Given:-

Cot (3x) = Cot (30+ x)

To find:-

Find the value of x?

Solution :-

Given

Cot(3x) = Cot (30+x)

=>3x = 30 + x

=>3x-x =30

=>2x=30

=>x=30/2

=>x=15

Therefore,x=15°

Answer:-

The value of x= 15° for the given problem

Check:-

LHS:-

If x=15° then

Cot(3×15)=Cot 45°= 1------(1)

RHS:-

Cot(30+15)=Cot 45°= 1-----(2)

From (1)&(2)

LHS = RHS is true for x=15°