Question

If sin A+cosA=root 3 then prove that tanA+ CotA=1​

Answer 1

Step-by-step explanation:

here u go

hope it helps......

Answer 2

Solution :-

sin A + cosA = √3

A/Q

=> (sinA +cosA)² = sin²A + cos²A + 2sinA .cosA

=> (√3)²= 1 + 2sinA .cosA

=> 3 -1 = 2sinA .cosA

=> sinA .cosA = 1

then ,

=tanA + cot A

= sinA / cosA + cosA/ sinA

=(sin²A + cos²A )/ sinA . cosA

= 1 /1 = 1

hence , tan A + cot = 1 .