Comprehension

Consider the following for the three (03) items that follow: Let p=sin35, q=sin25 and r=sin(95)

What is (pq+qr+rp) equal to?

This question was previously asked in
NDA-I (Mathematics) Official Paper (Held On: 13 Apr, 2025)
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  1. -3/4
  2. 0
  3. 1/4
  4. 3/4

Answer (Detailed Solution Below)

Option 1 : -3/4
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Detailed Solution

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Calculation:

Given,

The expression to simplify is pq + qr + rp, where:

Thus, we need to evaluate:

Using trigonometric identities, we simplify the expression:

Using the sum-to-product identity and known values for sine and cosine:

∴ The value of pq + qr + rp  is

Hence, the correct answer is Option 1.

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