Which expression is equivalent to sec2x − 1?

Question

Which expression is equivalent to sec2x − 1?

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Amaya 3 days 2021-10-11T23:38:47+00:00 1 Answer 0

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    2021-10-11T23:40:43+00:00

    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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