Assertion-Reason1 markYear: 2023MediumCBSE Class 10
trigonometryidentitiescosec-cot
Question
**Statement A (Assertion):** For 0<θ≤90°, cosecθ−cotθ and cosecθ+cotθ are reciprocal of each other.
**Statement R (Reason):** cosec2θ−cot2θ=1
Solution
1
(cosecθ−cotθ)(cosecθ+cotθ)=cosec2θ−cot2θ=1. So they are reciprocals. Both A and R are true and R is the correct explanation of A.
+1 mark