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Q. 20. For an acute angle show that

(sin – cosec ) (cos – sec ) =

Sol. LHS = (sin – cosec) (cos – sec )

=

=

=

=

RHS=


=

=…..[ cos2+sin2= 1]

= cos+ sin…(ii)

From (i) and (ii) LHS = RHS

Mathematics 2009 Question Papers Class X
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