Question
Download Solution PDFWhat is the general solution of cos100 x - sin100 x = 1?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
cos100x – sin100x = 1 is only possible when cos2 x = 1 or sin2 x = 0
because cos2 x ∈ [0, 1]
⇒ cos100x ∈ [0, 1]
Also sin2 x ∈ [0, 1]
⇒ sin100x ∈ [0, 1]
⇒ Cos2x = 1
⇒ x = nπ ± 0°
x = nπ
∴ The correct answer is option 1.
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