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  1. If cosα/cosβ = m and cosα/sinβ = n, then the value of (m² + n²) cos²b is :
    1. n²
    2. m²
    3. mn
    4. 1
Correct Option: A

m =
cosα
; n =
cosα
cosβsinβ

∴ (m² + n²) cos²b
=
cos²α
 +
cos²α
cos²β
cos²βsin²β

= cos²α
1
 +
1
cos²β
cos²βsin²β

= cos²α.cos²β
sin²β + cos²β
cos²β
cos²βsin²β.cos²β

=
cos²α
 = n²
sin²β


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