Prove the following identity
(1+1/tan^2A).(1+1/cot^2A)=1/cos^2A-cos^4A
Answers
Answered by
10
I will give the formula
tan2A=2tanA/1-tan^A
tan2A=2tanA/1-tan^A
Answered by
25
LHS
=(1+1/tan²A).(1+1/cot²A)
=(1+cot²A).(1+tan²A)
=cosec²A.sec²A
=1/(sin²A.cos²A)
=1/{(1-cos²A)cos²A}
=1/(cos²A-cos⁴A) = RHS(Proved)
=(1+1/tan²A).(1+1/cot²A)
=(1+cot²A).(1+tan²A)
=cosec²A.sec²A
=1/(sin²A.cos²A)
=1/{(1-cos²A)cos²A}
=1/(cos²A-cos⁴A) = RHS(Proved)
gandhirenuka27p4ahub:
U have done half
But how
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