Math, asked by dilpreetchhabra76, 1 year ago

If tan²A+cot²A=2 then find the value of tanA+cotA and tanA-cotA


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Answers

Answered by SK6731
2

Answer:

Step-by-step explanation:

In pic

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Answered by Swarup1998
18
\boxed{\underline{\textsf{Formulas :}}}

1.\:a^{2}+b^{2}=(a+b)^{2}-2ab

2.\:tanAcotA =1

3.\:a^{2}+b^{2}=(a-b)^{2}+2ab

\boxed{\underline{\textsf{Solution :}}}

\textsf{Now,}\:tan^{2}A+cot^{2}A=2

\to (tanA+cotA)^{2}-2tanAcotA=2

\to (tanA+cotA)^{2}-2=2

\to (tanA+cotA)^{2}=2+2

\to (tanA+cotA)^{2}=4

\to \boxed{tanA+cotA=\pm 2}

\textsf{Again,}\:tan^{2}A+cot^{2}A=2

\to (tanA-cotA)^{2}+2tanAcotA=2

\to (tanA-cotA)^{2}+2=2

\to (tanA-cotA)^{2}=2-2

\to (tanA-cotA)^{2}=0

\to \boxed{tanA-cotA= 0}

Swarup1998: Thanks for the brainliest :)
dilpreetchhabra76: Why are tou thanking me its a thanks from my side
dilpreetchhabra76: You*
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