Question

7.
If tano = 2-V3, then prove that cote = 2 + √3.​

Answer 1

Answer:

tan(theta) = 1/cot(theta)

if tan( theta ) = 2-√3

then cot (theta) = 1/(2-√3)

multiplying numerator and denominator of left hand side by (2+√3)

cot(theta) = (2+√3) / (2-√3) (2+√3) =( 2+√3)/ (4-3)=( 2+√3)

HENCE proved.