Which of the following are identities? Check all that apply. A. sin^2x – cos^2x = 1 B. sin^2x = 1 – cos^2x C. tan^2x = 1 + sec^2x D. cot^2x = csc^2x – 1

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Question:

Which of the following are identities? Check all that apply. A. sin^2x – cos^2x = 1 B. sin^2x = 1 – cos^2x C. tan^2x = 1 + sec^2x D. cot^2x = csc^2x – 1

Answer:

The trigonometry identities are: (b) and (d)

The basic trigonometry identity is:

The above identity means that, options (a) and (c) are false

Subtract both sides by cos^2(x)

So, we have:

The above means that, option (b) is true

Divide through by cos^2(x)

Rewrite the equation as:

Hence, the identities are: (b) and (d)

Read more about trigonometry identities at:

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