plz answer this question
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Step-by-step explanation:
the same question came for my model exam.
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Answer and Step-by-step explanation:
cos α÷cos β = m
cos α÷sin β=n
LHS=(m²+n²)cos²β
= (cos α÷cos β+cos α÷sin β)² cos²β
= (cos² α (1÷cos² β + 1÷sin² β))cos² β
= (sin² β + cos² β ÷ cos² β + sin² β)×cos² α + cos² β
using trigonometry identity - sin²A + cos²A =1
=cos² α × cos² β ÷ cos² β × sin² β
= cos² α ÷ sin² β
= (cos α ÷ sin β)²
∴ ( m²+n²)cos² β = n²
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