plz prove it its very urgent
Attachments:
Answers
Answered by
1
I will take theta as A
LHS:- 2sec2A- sec4A -2 cosec2A +cosec4A
= 2sec2A - 2cosec2A +cosec4A -sec4A
= 2(1 +tan2A) - 2(1+cot2A) +(1 + cot2A)2 - (1+tan2A)2
= 2 +2tan2A - 2 -2cot2A +1 +cot4A +2cot2A - (1 +tan4A +2tan2A)
= 2tan2A - 2cot2A +1 +cot4A +2 cot2A - 1 -tan4A - 2tan2A
= cot4A - tan4A
= RHS
LHS:- 2sec2A- sec4A -2 cosec2A +cosec4A
= 2sec2A - 2cosec2A +cosec4A -sec4A
= 2(1 +tan2A) - 2(1+cot2A) +(1 + cot2A)2 - (1+tan2A)2
= 2 +2tan2A - 2 -2cot2A +1 +cot4A +2cot2A - (1 +tan4A +2tan2A)
= 2tan2A - 2cot2A +1 +cot4A +2 cot2A - 1 -tan4A - 2tan2A
= cot4A - tan4A
= RHS
Similar questions