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Masja [62]
3 years ago
14

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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