Question
Download Solution PDFIf a sin2 θ + b cos2 θ = c, then tan2 θ = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
a sin2 θ + b cos2 θ = c
Concept:
Use formula :
sec2 θ = 1 + tan2 θ
Calculation:
a sin2 θ + b cos2 θ = c
Divide by cos2 θ both the sides then
⇒ a tan2 θ + b = c sec2 θ
⇒ a tan2 θ + b = c (1 + tan2 θ)
⇒ (a - c) tan2 θ = c - b
\(\rm \implies tan^2\theta=\frac{c-b}{a-c}\)
Hence the option (2) is correct.
Last updated on May 26, 2025
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