Question
Download Solution PDFIf acot θ = b, then what will be the value of \(\frac{bcosθ - asinθ}{bcosθ + asinθ}\)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
a cot θ = b
Calculation
\(\frac{bcosθ - asinθ}{bcosθ + asinθ}\)
Dividing the whole equation by cosθ, we get:
⇒ (b - asinθ/cosθ)/(b + asinθ/cosθ)
⇒ (b - atanθ)/(b + atanθ)
⇒ (b - a × a/b)/(b + a × a/b)
⇒ (b2 - a2)/(b2 + a2)
The value of the expression is (b2 - a2)/(b2 + a2) .
Last updated on Jul 12, 2025
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