Question

Sin theta + cos theta =root 3
Prove that tan theta + cot theta =1

Answer 1

Heya... I think this can be ur answer dear!!

Sin + cos =root 3
Squaring both sides,
Sin 2 + cos 2 +2sin*cos=3
1+ 2sin *cos =3
Sin *cos =3-1/2 =2/2 =1


Now,
Tan + cot =sin/cos + cos /sin
= sin2 + cos2/sin*cos =1/1=1

Hence proved

Hope it helps you dear ☺️☺️☺️