Question
Download Solution PDFIf sec 2θ = cosec (θ – 36°), where 2θ is an acute angle, find the value of θ.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
sec 2θ = cosec (θ – 36°)
Concept used:
Calculation:
sec 2θ = cosec (θ – 36°)
⇒ sec 2θ = sec (90° – θ + 36°)
⇒ sec 2θ = sec (126° – θ)
⇒ 2θ = 126° – θ
⇒ 3θ = 126°
⇒ θ = 42°
∴ The required answer is 42°.
Last updated on Jul 9, 2025
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