Assertion-ReasonEasy1 mark

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

Assertion (A): If sin² A + sin A = 1, then cos⁴ A + cos² A = 1. Statement 2: 1 - sin² A = cos² A.

Topic: Trigonometric identities

Previous-year question practice database

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(A) is true, (R) is false.(A) is false, (R) is true.Both (A) and (R) are true, and (R) is the correct reason for (A).Both (A) and (R) are true, and (R) is the incorrect reason for (A).

Answer

Exam answer

Explanation

From sin²A+sinA=1, cos²A=sinA. Thus cos⁴A+cos²A=sin²A+sinA=1.

In words

Both Assertion and Reason are true, and Reason correctly explains the Assertion.

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