Question
Download Solution PDFনিম্নলিখিত মান নির্ণয় করুন:
cos(36° + A).cos(36° - A) + cos(54° + A).cos(54° - A)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
cos (36° - A) cos (36° + A) + cos (54° - A) cos (54° + A)
অনুসৃত সূত্র:
cos (a - b) = cos a cos b + sin a sin b
sin (90 - a) = cos a
গণনা:
⇒ 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) ব্যবহার করে,
⇒ cos(54 + A - 54 + A) = cos(2A)
সুতরাং, cos (36° - A) cos (36° + A) + cos (54° - A) cos (54° + A) এর মান হল cos(2A)
Last updated on Jun 13, 2025
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