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Which of the following is an identity?

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Question: Which of the following is an identity?

Options:

  1. sin^2 x + cos^2 x = 1
  2. tan x = sin x / cos x
  3. sec x = 1/cos x
  4. All of the above

Correct Answer: All of the above

Solution: 

All the given options are trigonometric identities.

Which of the following is an identity?

Practice Questions

Q1
Which of the following is an identity?
  1. sin^2 x + cos^2 x = 1
  2. tan x = sin x / cos x
  3. sec x = 1/cos x
  4. All of the above

Questions & Step-by-Step Solutions

Which of the following is an identity?
  • Step 1: Understand what a trigonometric identity is. A trigonometric identity is an equation that is true for all values of the variable where both sides are defined.
  • Step 2: Look at the options provided in the question. Identify if each option is a true statement for all values of the variable.
  • Step 3: Check each option one by one. If an option holds true for all values, it is a trigonometric identity.
  • Step 4: Conclude that since all the given options are true for all values, they are all identities.
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