Prove that tan75+cot75=4

 Solution:-

How to Prove:-

• To prove tan75+cot75=4, we have to take L.H.S tan75+cot75

• We know that the value of tan75=2+√3 and cot75=2-√3

• now put the value of at tan75+cot75, and get 2+√3+2-√3

• +√3 and -√3 canceled out, we get L.H.S that is 4

• Hence L.H.S=R.H.S    {Proved}