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Effectus [21]
2 years ago
13

Please help me I've been stuck on this for days now and I can't get an answer now my last choice is brainly Guy please help me

Mathematics
1 answer:
krok68 [10]2 years ago
7 0

Answer:

you have to earn great to be great

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Prove the trigonometric identity!<br><br> Please help!! 50 Points!
Rudiy27

Answer:

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Step-by-step explanation:

For simplicity I will substitue x for β.

1-sin(2x)=(cosx-sinx)^2\\1-2sin(x)cos(x)=cos^2x-2sin(x)cos(x)+sin^2x\\1=cos^2(x)+sin^2(x)\\1=1

In the first step I used the identity

sin(2x)=2sin(x)cos(x)

And I factored out (cosx-sinx)^2

Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.

cos^2(x)+sin^2(x)=1

That's it!

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