Question

if tan 3A = cot(3A-60), find A

Answer 1

Answer:

A=25

Step-by-step explanation:

given, tan3A=cot(3A-60)

     cot(90-3A)=cot(3A-60)  [∵cot(90-θ)=tanθ]

          90-3A=3A-60

          90+60=3A+3A

               150=6A

                A=150/6

                A=25

∴the value of A is 25

Answer 2

Concept Introduction:-

It could take the shape of a word or a numerical representation of a quantity's arithmetic value.

Given Information:-

We have been given that $tan 3A = cot(3A-60)$

To Find:-

We have to find that the value of $A$

Solution:-

According to the problem

given, $\tan 3 A=\cot (3 A-60)$

$\begin{aligned} \cot (90-3 A) &=\cot (3 A-60)[\because \cot (90-\theta)=\tan \theta] \\ 90-3 A &=3 A-60 \\ 90+60 &=3 A+3 A \\ 150 &=6 A \\ A &=150 / 6 \\ A &=25 \end{aligned}$

$\therefore$ the value of $\mathrm{A}$ is $25$.

Final Answer:-

The correct answer is the value of $\mathrm{A}$ is $25$.

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