Question

If cot A + 1 by cot a is equal to 2 find the value of cot square A + 1 by cot squarea​

Answer 1

Question:-

↗ $\sf \dfrac{Cot A +1}{Cot A} = 2$ then find the value of

$\sf \dfrac{Cot^{2} A +1}{Cot^{2}}$

Answer:-

↗$\sf Cot A + \dfrac{1}{CotA} = 2$

↗$\sf (CotA + \dfrac{1}{CotA})² = 2^{2}$

↗$\sf Cot^{2} A + 2 + \dfrac{1}{Cot^{2}A} = 4$

↗$\sf Cot^{2} + \dfrac{1}{Cot^{2}A}$

↗$\sf 4 - 2 = 2$

Hence,solved.