Mathematics
Assertion (A): sec2 23° - tan2 23° = 1. Reason (R): cos 60° = 1. Assertion (A) is true, Reason (R) is false. 2. Assertion (A) is false, Reason (R) is true. 3. Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A). 4. Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Related Questions
The value of 3 tan2 26° - 3 cosec2 64° is
0
3
-3
-1
Statement (i) : sin2 θ + cos2 θ = 1
Statement (ii) : cosec2 θ + cot2 θ = 1
Which of the following is valid ?
only (i)
only (ii)
both (i) and (ii)
neither (i) nor (ii)
Assertion (A): For 0 < θ ≤ 90°, cosec θ - cot θ and cosec θ + cot θ are reciprocals of each other.
Reason (R): cosec2 θ - cot2 θ = 1
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).
Assertion (A): cosec2 54° - cot2 54° = 1.
Reason (R): cosec2 θ - cot2 θ = 1 for all values of θ, 0° < θ ≤ 90°.
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).