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s344n2d4d5 [400]
3 years ago
15

Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.

Mathematics
1 answer:
stich3 [128]3 years ago
5 0
We are asked to express cos^ 3 x in terms of  powers of trigonometric functions not greater than 1

cos ^ 3 x is equal to cos x * cos^2 x. 
<span>cos^2 x = 1 - sin^2 x.
</span>sin^2 x  = (1 - cos 2x) /2 

the answer is cos ^ 3 x = cos x * (1 - <span> (1 - cos 2x) /2 )</span>




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Express 0.484848..... in p/q form​
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<h3>Answer:  16/33</h3>

It's in p/q form where p = 16 and q = 33.

=======================================================

Work Shown:

x = 0.484848.....

100x = 48.4848.....

I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out

100x - x = 99x

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I recommend using a calculator to confirm that 16/33 = 0.484848...

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Step-by-step explanation:

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