Question

1
10. If cot A+
A+
cot A
1
= 2, then prove that cot? A+
cot? A
= 2.​

Answer 1

Answer:

$cot \: A + \frac{1}{cot \: A} = 2 \\ Squaring \: on \: both \: the \: sides \\ {(cot \: A+ \frac{1}{cot \: A}) }^{2} = {(2)}^{2} \\ {cot}^{2} A + 2 + \frac{1}{ {cot \: A}^{2} } = 4 \\ {cot}^{2} A + \frac{1}{ {cot}^{2} A} = 4 - 2 \\ {cot}^{2} A + \frac{1}{ {cot}^{2} A} = 2 \\ Hence \: proved$

Answer 2

Answer:

hence proved

Step-by-step explanation:

please mark me brainliest