Question

if tanA +cos2A=2 then find tan2A+cot2A​

Answer 1

Answer:

2

Step-by-step explanation:

Given that, tan a + cot a=2

squaring on both sides we get,

$tan { }^{2} a +cot {}^{2} a + 2 \tan(a) \cot(a ) = 4 \\ \tan{}^{2} a+ \cot {}^{2} a + 2 = 4 \\ \tan {}^{2} a + cot {}^{2}a = 2$