Mathematics: Prove this equation I ll give brianliest!!

Prove this equation I ll give brianliest!!

Ответ:

sonyalehardez

15.03.2022

$(\frac{1}{sin\alpha } -sin\alpha )(\frac{1}{cos\alpha } -cos\alpha )=cos\alpha *sin\alpha \\\\\\(\frac{1}{sin\alpha } -\frac{(sin\alpha)^2}{sin\alpha} )(\frac{1}{cos\alpha } -\frac{(cos\alpha)^2}{cos\alpha } )=cos\alpha *sin\alpha \\\\\\(\frac{1-(sin\alpha )^2}{sin\alpha } )(\frac{1-(cos\alpha)^2 }{cos\alpha } ) = cos\alpha *sin\alpha\\\\\\(\frac{(cos\alpha)^2 }{sin\alpha } )(\frac{(sin\alpha )^2}{cos\alpha } )=cos\alpha *sin\alpha\\\\\\cos\alpha *sin\alpha = cos\alpha *sin\alpha$

Identities used

$(sin\alpha )^2+(cos\alpha)^2=1$ the second to last step to the last step was just a matter of simplification

Hope it helped!

p.s. If you can give me a , it would help a lot since the formatting of these equations were a lot of work

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Ответ:

sar70

04.01.2023

Mathematics

7 innings

Explanation:

What can I say? I did this before in Khan Academy.

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