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natulia [17]
3 years ago
5

#7:

Mathematics
2 answers:
Schach [20]3 years ago
4 0

Answer: 468.75

is ya answer

i think

sorry if im wrong

elixir [45]3 years ago
3 0

Answer:

468.75

Step-by-step explanation:

First we need to add 25% to 500.00 which is 625.

Next we need to subtract 25% from 625.

Now we have 468.75.

The selling price of the couch is $468.75.

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Denominators are same, you can subtract the fractions.

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Using the identity: 1-\cos ^{2}(x)=\sin ^{2}(x)

       $= \frac{1+\cos^2 x}{\sin^2x}

Using the identity: 1=\cos ^{2}(x)+\sin ^{2}(x)

       $=\frac{\cos ^{2}x+\cos ^{2}x+\sin ^{2}x}{\sin ^{2}x}

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RHS=2 \cot ^{2} x+1

Using the identity: \cot (x)=\frac{\cos (x)}{\sin (x)}

        $=1+2\left(\frac{\cos x}{\sin x}\right)^{2}

       $=1+2\frac{\cos^{2} x}{\sin^{2} x}

       $=\frac{\sin^2 x + 2\cos^{2} x}{\sin^2 x} ------------ (2)

Equation (1) = Equation (2)

LHS = RHS

$\frac{1}{1-\cos x}-\frac{\cos x}{1+\cos x}=2 \cot ^{2} x+1

Hence proved.

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