Question

Let 4 sin^ 2 x=3, where 0≤x≤n. What is tan 3x equal to?
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Answer 1

Answer:

4 sin²x = 3

sin²x = ¾

$sin x = \frac{\sqrt{3} }{2}$

x = π/3

tan3x = tan 3(π/3) = tan π = 0

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Answer 2

Answer:

0 is the value of tan3x.

Step-by-step explanation:

Explanation:

Given. 4$sin^{2}x$ = 3  

Therefore we have , $4sin^{2}x = 3$

 ⇒  $sin^{2} x = \frac{3}{4}$

Now remove the square from left side we get

$sinx = \sqrt{\frac{3}{4} }$

⇒ $sinx = \frac{\sqrt{3} }{2}$  (where 2is the square root of 4)

Step1:

As we know at 60 ° (sin) give $\frac{\sqrt{3} }{2}$ value  , and 60° = $\frac{\pi }{3}$

Therefore ,

$sinx = sin 60$° = $sin \frac{\pi }{3}$

⇒x = $\frac{\pi }{3}$ .

Step2:

Now , tan3x ........(i)

Put the value of x = $\frac{\pi }{3}$ in equation (i)

∴tan 3×( $\frac{\pi }{3}$ ) ⇒tan$\pi$ = 0

(value of $tan\pi$ is 0)

Final answer :

Hence , the value of tan3x is equal to 0 .