Question
Download Solution PDFIf sec θ + tan θ = 5, then find the value of tan θ.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
sec θ + tan θ = 5
Concept used:
If sec θ + tan θ = y
then sec θ - tan θ = 1/y
Calculation:
sec θ + tan θ = 5 ----- (1)
then,
sec θ - tan θ = 1/5 ------- (2)
Subtracting the eq. (1) and (2)
⇒ (sec θ + tan θ) - (sec θ - tan θ) = (5 - 1/5)
⇒ sec θ + tan θ - sec θ + tan θ = 24/5
⇒ 2 × tan θ = 24/5
⇒ tan θ = 12/5
∴ The correct answer is 12/5.
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