Question
Download Solution PDFIf P cos α = 3 and 4 tan α = Q, then what is the relation between P and Q, which is independent of α?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
sec2 θ - tan2 θ = 1
Calculation:
P cos α = 3
⇒ cos α = 3/P
⇒ sec α = P/3
4 tan α = Q
⇒ tan α = Q/4
From the given concept, we get
sec2 α - tan2 α = 1
⇒ P2/9 - Q2/16 = 1
∴ The correct answer is option 3
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