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2 years ago

Fill in the blanks to solve this equation (ANSWER QUICK)

Mathematics

1 answer:

tresset_1 [31]2 years ago

8 0

Answer:

My answer:

Step-by-step explanation:

-14K for the first blank
-14K for the second blank
-56 for the third blank
4 for the fourth blank

I multiplied -7 by 2. Then I plugged in that number to the first two blanks. Then I subtracted 21 from -35. Then I divided that number by -14.

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3 years ago

(cot^2x - 1)/(csc^2x) = cos2x

Alex787 [66]

Answer:

Step-by-step explanation:

The idea here is to get the left side simplified down so it is the same as the right side. Consequently, there are 3 identities for cos(2x):

$cos(2x)=cos^2x-sin^2x$ ,

$cos(2x)=1-2sin^2x$ , and

$cos(2x)=2cos^2x-1$

We begin by rewriting the left side in terms of sin and cos, since all the identities deal with sines and cosines and no cotangents or cosecants. Rewriting gives you:

$\frac{\frac{cos^2x}{sin^2x} -\frac{sin^2x}{sin^2x} }{\frac{1}{sin^2x} }$

Notice I also wrote the 1 in terms of sin^2(x).

Now we will put the numerator of the bigger fraction over the common denominator:

$\frac{\frac{cos^2x-sin^2x}{sin^2x} }{\frac{1}{sin^2x} }$

The rule is bring up the lower fraction and flip it to multiply, so that will give us:

$\frac{cos^2x-sin^2x}{sin^2x} *\frac{sin^2x}{1}$

And canceling out the sin^2 x leaves us with just

$cos^2x-sin^2x$ which is one of our identities.

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3 years ago

Simplify the expression. 2(x-3)+4y-2(x-y-3)+5

Rasek [7]

2(x - 3) + 4y - 2(x - y - 3) + 5 =
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Step-by-step explanation:

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