Question

Match the items of List - A with those of the entries of List - B.

• A. \( (I) \rightarrow (B), (II) \rightarrow (D), (III) \rightarrow (C), (IV) \rightarrow (A) \)
• B. \( (I) \rightarrow (B), (II) \rightarrow (E), (III) \rightarrow (A), (IV) \rightarrow (C) \)
• C. \( (I) \rightarrow (C), (II) \rightarrow (B), (III) \rightarrow (A), (IV) \rightarrow (D) \)
• D. \( (I) \rightarrow (C), (II) \rightarrow (B), (III) \rightarrow (D), (IV) \rightarrow (E) \)

Hint:

For solving trigonometric sums and products, break down the terms into manageable parts and use known identities for simplification.

Answer 1

The Correct Option is A

For \( I \), the sum of squared sines from 5° to 90° leads to an answer \( (B) = 0 \).
For \( II \), the product of tangent squares for the given angles leads to an answer \( (D) = 1 \).
For \( III \), the sum of cosines squares for the given angles leads to an answer \( (C) = 18 \).
For \( IV \), the sum of cotangents for the angles gives an answer \( (A) = 0 \).