Statement A (Assertion) : For 0< \theta \leq 90^{\circ}, {\cosec} \theta-\cot \theta and {\cosec} \theta+\cot \theta are reciprocal of each other. Statement R (Reason) : {\cosec}^2 \theta-\cot ^2 \theta=1

Correct Answer is : Both Assertion (A) and Reason (R) are true; and Reason (R) is the correct explanation of Assertion (A).

Both Assertion (A) and Reason (R) are true; and Reason (R) is the correct explanation of Assertion (A).

Both Assertion (A) and Reason (R) are true; but Reason (R) is not the correct explanation of Assertion (A).

Assertion (A) is true but Reason (R) is false.

Assertion (A) is false but Reason (R) is true.

CBSE Class 10 Math 2023 All India Set-1 Solved Paper

Question : 20 of 38

Marks: +1, -0

Statement A (Assertion) : For

0< θ ≤ 90^{∘}, {\cosec} θ-\cot θ

and

{\cosec} θ+\cot θ

are reciprocal of each other.
Statement R (Reason) :

{\cosec}^2 θ-\cot ^2 θ=1

Both Assertion (A) and Reason (R) are true; and Reason (R) is the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true; but Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) is true but Reason (R) is false.
Assertion (A) is false but Reason (R) is true.

Solution:

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