How to solve this identity? Thank you!

Question

How to solve this identity? Thank you!

You need to prove that $cotx - coty = (sin(y-x))/(sinx * siny)$

Thank you very much!

1 Answer

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Answer 1 · 2017-12-08T19:55:28

$"see explanation"$

Explanation:

$"using the "color(blue)"trigonometric identities"$

$•color(white)(x)sin(y-x)=sinycosx-cosysinx$

$•color(white)(x)cotx=cosx/sinx$

$"consider the left side"$

$cotx-coty$

$=cosx/sinx-cosy/siny$

$=(cosxsiny-sinxcosy)/(sinxsiny)$

$=(sin(y-x))/(sinxsiny)$

$=" right side "rArr" verified"$

Science

Math

Humanities

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How to solve this identity? Thank you!

You need to prove that $cotx - coty = (sin(y-x))/(sinx * siny)$

Thank you very much!

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How to solve this identity? Thank you!

You need to prove that cotx - coty = (sin(y-x))/(sinx * siny)cotx - coty = (sin(y-x))/(sinx * siny) Thank you very much!

1 Answer

Explanation:

Related questions

Impact of this question

You need to prove that $cotx - coty = (sin(y-x))/(sinx * siny)$

Thank you very much!