Mathematics
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).
Related Questions
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): 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).
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).