1-tan²A/cot2A-1=tan²A
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1-tan^2 A
The Constitution names our country as India, that is Bharat. The first article of the Constitution of India states that "India, that is Bharat, shall be a union of states," implicitly codifying India and Bharat as equally official short names for the Republic of India.
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LHS:
(1+tan²A)/(1+cot²A)
=(1+tan²A)/(1+1/tan²A)
=(1+tan²A)/[(1+tan²A)/tan²A]
=tan²A
RHS:
(1-tanA)²/(1-cotA)²
=(1-2tanA+tan²A)/(1-2cotA+cot²A)
=(1-2tanA+tan²A)/(1-2/tanA+1/tan²A)
=(1-2tanA+tan²A)/[(tan²A-2tanA+1)/tan²A]
=tan²A
∴, LHS=RHS(Proved)
Step-by-step explanation:
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