Question
Download Solution PDFபின்வருவனவற்றை மதிப்பிடுக:
cos(36° + A).cos(36° - A) + cos(54° + A).cos(54° - A)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
cos (36° - A) cos (36° + A) + cos (54° - A) cos (54° + A)
பயன்படுத்தப்படும் சூத்திரம்:
cos (a - b) = cos a cos b + sin a sin b.
sin (90 - a) = cos a
கணக்கீடு:
⇒ sin[90 - (36 - A)]sin[90 - (36 + A)] + cos (54° - A) cos (54° + A)
⇒ sin( 54º + A)sin(54º - A) + cos (54 ° - A)cos (54° + A)
⇒ cos (A - B) முற்றொருமையைப் பயன்படுத்துதல்,
⇒ cos(54 + A - 54 + A) = cos(2A)
எனவே, cos (36° - A) cos (36° + A) + cos (54° - A) cos (54° + A) இன் மதிப்பு cos(2A) ஆகும்.
Last updated on Jun 11, 2025
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