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3 years ago

Which expression is equal to sec x° multiplied by cot x°?

Mathematics

2 answers:

melomori [17]3 years ago

5 0

The answer is D. hypotenuse ÷ opposite

ExtremeBDS [4]3 years ago

5 0

Answer:

D) hypotenuse ÷ opposite.

Step-by-step explanation:

Given : sec x° multiplied by cot x°.

To find : Which expression.

Solution : We have given that

sec x° * cot x°.

We know that sec x° = $\frac{hypotenuse}{adjacent}$ .

cot x° = $\frac{adjacent}{opposite}$ .

Then

sec x° * cot x° = $\frac{hypotenuse}{adjacent}$ * $\frac{adjacent}{opposite}$ .

On simplification

sec x° * cot x° = $\frac{hypotenuse}{opposite}$ .

Therefore, D) hypotenuse ÷ opposite.

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Read 2 more answers

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ohaa [14]

Answer:

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Step-by-step explanation:

Fact:

$\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}$ .

In other words, $(a^{2} - b^{2})$ , the difference of two squares in the form $a^{2}$ and $b^{2}$ , could be factorized into $(a - b)\, (a + b)$ .

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Hence:

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