Any one solve this question and give solutions?

Answers (1)

LHS

 $$ = (1 + cot 	heta - cosec 	heta)(1 + tan	heta + sec	heta) $$\$$ $$= (1 + fraccos	hetasin	heta - frac1sin	heta)(1 + fracsin	hetacos	heta+ frac1cos	heta) $$\$$ $$= frac(sin	heta+cos	heta)^2 - 1 sin	heta cos	heta$$ \$$ $$= fracsin^2	heta + cos^2	heta + 2 cos	heta  sin	heta -1 sin	heta cos	heta $$\$$ $$= frac2sin	heta cos	hetasin	heta cos	heta$$\$$ $$ = 2$$

= 2 RHS 

Hence LHS = RHS 

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