Mathematics
Assertion (A): 1 + sec2 θ = tan2 θ is a trigonometric identity.
Reason (R): An equation involving trigonometric ratio of an angle is called trigonometric identity if it is true for all values of the angles involved.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Trigonometric Identities
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Answer
An equation involving trigonometric ratios is a trigonometric identity if it holds true for all possible values of the angles involved.
∴ Reason (R) is true.
1 + tan2 θ = sec2 θ is a correct trigonometric identity.
∴ Assertion (A) is false.
∴ Assertion (A) is false, Reason (R) is true.
Hence, option 2 is the correct option.
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