Question

If tan+cot=2 then what is tansquare+cotsquare=?

Answer 1

tanA + cotA = 2

squaring on both side, we get....

tan2A + cot2A + 2tanA cotA = 4

tan2A + cot2A + 2 = 4

tan2A + cot2A = 4 - 2

tan2A + cot2A = 2

HENCE PROVED.......

Answer 2

tan@+cot@=2
Squaring both sides we get
tan^2@+cot^2@+2=4
=>tan^2 @+ cot ^2 @=2..
Hence,2is correct answer