Math, asked by myrmidonsharma270120, 11 months ago

if tanA +cotA= 2 then the value of tan13A +cot13A=​

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Answered by anuj201251
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Answer:

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Answered by sandy1816
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Step-by-step explanation:

tanA + cotA= 2 \\ tanA +  \frac{1}{tanA}  = 2 \\  {tan}^{2} A  + 1- 2tanA = 0 \\ ( {tanA- 1})^{2}  = 0 \\ tanA= 1 \\  \\ now \:  \:  {tan}^{13} A +  {cot}^{13} A \\  =  {1}^{13}  +  {1}^{13}  \\  = 1 + 1 = 2

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