Question:
If (cos A)/(cos B)=n, (sin A)/(sin B)=m, then the value of (m²-n²)sin² B is
If (cos A)/(cos B)=n, (sin A)/(sin B)=m, then the value of (m²-n²)sin² B is
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Express everything in terms of one angle to simplify.
Updated On: Mar 20, 2026
- \(1+n^2\)
- \(1-n^2\)
- \(n^2\)
- -n²
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The Correct Option is B
Solution and Explanation
Using identities:
sin²A+cos²A=1
m²sin²B+n²cos²B=1
⟹ (m²-n²)sin²B=1-n²
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