Question

if sinx+cosx=√2 prove that tanx+cotx=2​

Answer 1

Step-by-step explanation:

sinx+ coax= √2

sinx/√2+ cosx√2= 1

sinx cos45+ cosx sin45=1

sin(X+45)= 1

sinx+45= sin90

X= 45

now

tanx+cotx

=tan45+cot4

= 1+1=2 = RHS proved