Math, asked by ss4051461, 8 months ago

If tan2A=cot(A-18)
Where 2A a Nun angle
Then learn the value of A?​

Answers

Answered by 0tohero
1

Answer:

Hope's this will help you..............

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Answered by Hiteshbehera74
1

tan2A = cot(A-180°)

tan2A = -cot(180-A)

tan2A = -(-cotA)

tan2A = cotA

 \frac{2tanA}{1 -  {tan}^{2} A}  =  \frac{1}{tanA}  \\ 2 {tan}^{2}A = 1 -  {tan}^{2}  A \\ 3 {tan}^{2} A = 1 \\  {tan}^{2} A =  \frac{1}{3}  \\ tanA =   ±  \sqrt{ \frac{1}{3} }  \\ A=  \frac{\pi}{6} , \frac{5\pi}{6}

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