Math, asked by Kirankiru2003, 1 year ago

Prove that
Tan theta +1/Tan theta =sec2 theta


shadowsabers03: Seems that your question is wrong.

Answers

Answered by deeya30
4

UR QUESTION IS WRONG WE HAVE TO PROVE IT EQUAL TO COSEC THETA

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Kirankiru2003: ooo ok. thats why i was not getting the answer.. thank you for helping!
shadowsabers03: In the third step, how the denominator became tan^2 theta?
satyamrathi47: how the denominator became tan^2
Kirankiru2003: Can v do this sum through trigonometric identity
Answered by shadowsabers03
4

       

I think your question is wrong and is as the following:

\sf{Prove\ that}\ \ \tan\theta+\frac{1}{\tan\theta}=\sec\theta \cdot \csc\theta

Okay, I'm proving this.

\tan\theta+\frac{1}{\tan\theta} \\ \\ \\ \frac{\tan^2\theta+1}{\tan\theta} \\ \\ \\ \frac{\sec^2\theta}{\tan\theta}\ \ \ \ \ [\sec^2\theta-\tan^2\theta=1\ \ \ ; \ \ \ \sec^2\theta=\tan^2\theta+1] \\ \\ \\ \frac{\sec\theta}{\tan\theta} \ \cdot \ \sec\theta \\ \\ \\ \csc\theta \ \cdot \ \sec\theta \ \ \ \ \ [\tan\theta=\frac{\sec\theta}{\csc\theta}\ \ \ ; \ \ \ \csc\theta=\frac{\sec\theta}{\tan\theta}]

Hope this helps.

Plz mark it as the brainliest.

Thank you. :-))

     

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