value of 2tan^2 60°÷1+tan^2 30° is
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Answered by
5
Answer:
The value of
\frac{2tan30}{1-tan^{2}30}
1−tan
2
30
2tan30
= \sqrt{3}
3
Step-by-step explanation:
______________________
we know that,
\boxed {\frac{2tanA}{1-tan^{2}A}=tan2A}
1−tan
2
A
2tanA
=tan2A
______________________
Here ,
A = 30°
\frac{2tan30}{1-tan^{2}30}
1−tan
2
30
2tan30
= tan(2\times 30)tan(2×30)
= tan60°
= \sqrt{3}
3
Therefore,
The value of
\frac{2tan30}{1-tan^{2}30}
1−tan
2
30
2tan30
= \sqrt{3}
3
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3
Answer:
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