3 years ago

Which expression is equivalent to sec2x − 1?

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

7 0

Answer:

tan²x

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1

Divide all terms by cos²x

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

tan²x + 1 = sec²x ( subtract 1 from both sides )

tan²x = sec²x - 1

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nadezda [96]

Given:

Consider the discount percent and SP are given.

To find:

The MP.

Solution:

Let x% be the discount percent Then

$SP=MP-x\%\text{ of }MP$

$SP=MP-\dfrac{x}{100}MP$

$SP=\left(1-\dfrac{x}{100}\right)MP$

$SP=\left(\dfrac{100-x}{100}\right)MP$

Multiply both sides by 100.

$100SP=(100-x)MP$

Divide both sides by $(100-x)$ .

$\dfrac{100}{100-x}SP=MP$

Therefore, the formula for MP is $MP=\dfrac{100}{100-x}SP$ , where x is the discount percentage.

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