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meriva
3 years ago
13

Show That

mula1" title=" {a }^{2} + {b}^{2} = 8" alt=" {a }^{2} + {b}^{2} = 8" align="absmiddle" class="latex-formula">
​

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

Answer:

Please see the attached picture for the full solution.

*From the 4th line of the 1st image, you could also expand it using

(a +b)²= a² +2ab +b² and

(a -b)²= a² -2ab +b².

When squaring a fraction, square both the denominator and numerator.

➣(a/b)²= a²/b²

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Step-by-step explanation:

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3 years ago
Prove the identity secxcscx(tanx+cotx)=2+tan^2x+cot^2x
svetlana [45]
Hello,

sec(x)= \dfrac{1}{cos(x)} \\

cosec(x)= \dfrac{1}{sin(x)} \\

sec(x)*cosec(x)*(tg(x)+cotg(x))=\dfrac{1}{cos(x)}* \dfrac{1}{sin(x)}*( \frac{sin(x)}{cos(x)} +\frac{cos(x)}{sin(x)})\\

= \dfrac{sin^2(x)+cos^2(x)}{sin^2x*cos^2x} \\

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==============================================================
2+tg^2(x)+cotg^2(x)=2+ \dfrac{sin^2x}{cos^2x} + \dfrac{cos^2x}{sin^2x} \\

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8 0
3 years ago
Read 2 more answers
Write an algebraic expression that represents the following statement: “7 less than the quotient of 5 and n" *
IrinaK [193]

\huge\boxed{\boxed{\bold{\frac{5}{n}-7}}}

\hrulefill

We'll start with the expression for the quotient of 5 and n, which means we'll use division:

\frac{5}{n}

Now we find 7 less than that, meaning we'll use subtraction:

\frac{5}{n}\bold{-7}

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

slope : -3

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<h3>Hope it is helpful....</h3>

4 0
3 years ago
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