Question
Download Solution PDF(1 - sinA)2 + (1 + sinA)2 + (1 - cosA)2 + (1 + cosA)2 എന്നത് എന്തിന് തുല്യമാണ്?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFനൽകിയിരിക്കുന്നത്,
(1 - sinA)2 + (1 + sinA)2 + (1 - cosA)2 + (1 + cosA)2
⇒ 1 + sin2A – 2 sinA + 1 + sin2A + 2 sinA + 1 + cos2A – 2 cosA + 1 + cos2A + 2 cosA (∵ (a ± b)2 = a2 ± 2ab + b2)
⇒ 1 + sin2A + 1 + sin2A + 1 + cos2A + 1 + cos2A
⇒ 4 + 2 (sin2A + cos2A)
⇒ 4 + 2 = 6 (∵ sin2A + cos2A = 1)
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