Math, asked by ShiriMin, 1 year ago

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Answered by pavamuruganpbcfes
3
LHS = (CotA -1) /( 2- Sec²A )

= ( CotA-1) / (1 + 1 - Sec²A)

= (1/tanA)-1 / ( 1 - tan²A) ●Since tan²A +1 = sec²A So, 1- Sec²A = - tan²A

= (1-tanA) / tanA (1+tanA)(1-tanA) ● by identity a² -b² = (a+b) ( a-b)

= 1/ tanA(1+tanA)

= CotA / (1+tanA) = RHS

[ Hence Proved]

Hope this helps you friend
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Answered by Anonymous
4

Step-by-step explanation:

To prove that [(cotA-1)/(2-sec^2A)] = cotA/(1+tanA)

LHS = [(cotA-1)/(2-sec^2A)]

= [(cotA-1)/(2-{1 + tan^2A}]

= [(cotA-1)/(1 - tan^2A)

= [(cotA-1)/(1+tanA)(1-tanA)

=cotA [1–1/cotA)/(1+tanA)(1-tanA)

=cotA [1–tanA)/(1+tanA)(1-tanA)

=cotA/(1+tanA). Proved


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