0 (Cosec A-Sin A) (Sec A- CosA ) = SinA. Cons A prove that.
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Step-by-step explanation:
(cosec a - sin a) (sec a-cos a)
= (1/sin a - sin a) ( 1/cos a -cos a)
= { ( 1-sin²a)/sin a}{(1-cos²a)/cos a}
= cos²a/ sina. × sin²a/cos a
( here we know sin²a+cos²a=1 then sin²a = 1-cos²a and cos²a= 1-sin²a)
= sin a cos a (proved)
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