Question

If
sin+ cos 0 = V3, then prove that tan 0 + cot 0 =1​

Answer 1

Answer:

sin O + cos O=root 3 , prove tan O+ cot O =1

Step-by-step explanation:

first convert tan O = sin O/cos O and cot O =cos O /sin O

then we can get ,

sin O/cos O+ cos O/ sin O

sin*O + cos*O/ sinO. cos O

{sin O+ cos O}* +2sinO Cos O /sin O. cos O

by putting the value of sin O+ cos O = root 3

{root3}* - 2sincos/ sincos

3-2{ sin. cos}/ sincos

1.sincos /sin cos =1

so , L.H.S=R.H.S [hence proved}