Question
Download Solution PDFcos100 x - sin100 x = 1 का सामान्य हल क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
cos100x - sin100x = 1 तभी संभव है जब cos2 x = 1 या sin2 x = 0 हो।
क्योंकि cos2 x ∈ [0, 1]
⇒ cos100x ∈ [0, 1]
इसके अलावा sin2 x ∈ [0, 1]
⇒ sin100x ∈ [0, 1]
⇒ Cos2x = 1
⇒ x = nπ ± 0°
x = nπ
∴ सही उत्तर विकल्प 1 है।
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