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2 years ago

Prove the trigonometric identity! Please help!! 50 Points!

Mathematics

1 answer:

Rudiy272 years ago

3 0

Answer:

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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2 years ago

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Masja [62]

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Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

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Consider the ordered pairs: (2, 10) and (6, 30)

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3 years ago

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