Question

If sin A +cos A= 12, then evaluate: tan A+ cot A​

Answer 1

sinA/cosA=tanA ; cosA/sinA=cotA

Step-by-step explanation:

put the above given formula and u will get the answer

Answer 2

Answer:

$\frac{2}{143}$

Step-by-step explanation:

$sinA+cosA=12.......(i)\\sin^{2}A+cos^{2}A=1\\=>(sinA+cosA)^{2}-2sinAcosA=1\\Using\;\;(i)\\(12)^{2}-2sinAcosA=1\\=>2sinAcosA=143\\=>sinAcosA=\frac{143}{2}......(ii)\\Now,\\tanA+cotA=\frac{sinA}{cosA}+\frac{cosA}{sinA}=\frac{sin^{2}A+cos^{2}A}{sinAcosA}=\frac{1}{\frac{143}{2}}\\=\frac{2}{143}$

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