Asked by Joe
Verify the following identity
2 tan x/1+tan^2 x = sin 2x
2 tan x/1+tan^2 x = sin 2x
Answers
Answered by
Reiny
One of the variations of sin^x + cos^x = 1 is
1 + tan^2x = sec^2x
so
LS = [2(sinx/cosx)]/sec^2x
= (2sinx/cosx)(1/cos^2x)
= 2sinxcosx
= sin 2x
= RS
1 + tan^2x = sec^2x
so
LS = [2(sinx/cosx)]/sec^2x
= (2sinx/cosx)(1/cos^2x)
= 2sinxcosx
= sin 2x
= RS
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.