Question
Download Solution PDFThe value of \(\sqrt{\frac{1+\cos θ}{1-\cos θ}}\) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
1 - sin2 θ = cos2 θ
1/sin θ = cosec θ
cos θ/sin θ = cot θ
Calculation:
\(\sqrt{\frac{1+\cos θ}{1-\cos θ}}\)
⇒ \(\sqrt{\frac{1+\cos θ}{1-\cos θ}\times\frac{1+\cos θ}{1+\cos θ}} \)
⇒ \(\sqrt{\frac{(1+\cos θ)^2}{1^2-\cos^2 θ}} \)
⇒ (1 + cosθ)/sinθ
⇒ (1/sin θ) + (cos θ/sin θ)
⇒ cosec θ + cot θ
∴ The correct option is 3.
Last updated on Jul 15, 2025
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