Question

if cos A = √3/2 .then tan 3A= ?​

Answer 1

Answer: tan3A = not defined

Step-by-step explanation:

CosA = √3 / 2

=> cos30 =√3 / 2

=> cosA = cos30°

=> A = 30°

TanA = 1 / √3

Tan3A = tan 3*30 = tan90 = 1/0 = not defined

Therefore tan3A = not defined

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Answer 2

The value of tan 3A is ∞.

Step-by-step explanation:

Since we have given that

$\cos A=\dfrac{\sqrt{3}}{2}$

As we know that

$\cos A=\cos 30^\circ\\\\A=30^\circ$

So, we need to find tan 3A.

So, we put the value of A .

We get that

$\tan 3A=\tan 3(30^\circ)=\tan 90^\circ =\infty$

Hence, the value of tan 3A is ∞.

# learn more:

Find the magnitude of angle A, if: 2 tan 3A . cos 3A - tan 3A + 1 = 2 cos 3A

( Trigonometrical ratios of standard angles )

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