Question
Download Solution PDFకింది వాటిని మూల్యాంకనం చేయండి:
cos(36° + A).cos(36° - A) + cos(54° + A).cos(54° - A)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చిన దత్తాంశం:
cos (36° - A) cos (36° + A) + cos (54° - A) cos (54° + A)
ఉపయోగించిన సూత్రం:
cos (a - b) = cos a cos b + sin a sin b.
sin (90 - a) = cos a
సాధన:
⇒ sin[90 - (36 - A)]sin[90 - (36 + A)] + cos (54° - A) cos (54° + A)
⇒ sin(54 º + A)sin(54 º - A) + cos (54° - A)cos (54° + A)
⇒ గుర్తింపు cos (A - B)ని ఉపయోగించడం
⇒ cos(54 + A - 54 + A) = cos(2A)
కాబట్టి, cos (36° - A) cos (36° + A) + cos (54° - A) cos (54° + A) విలువ cos(2A).
Last updated on Jul 19, 2025
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