Question

tan theta= 5/6 and if theta + fi = 90 what is cot fi?

Answer 1

Hi Mate!!

We know that Tan ( 90 - fi ) = Cot ( fi )

=>.

thera = 90 - fi


=>. Tan ( 90 - fi ) = 5 / 6

=>. Cot ( fi ) = 5 / 6

Answer 2

theta + fi = 90

take tan both sides

tan ( theta + fi) = tan 90

tan theta + tan fi)/ 1 - tan theta tan fi = 1/0

1 - tan theta tan fi = 0

tan theta tan fi= 1

tan fi = 1/ tan theta = 1/5/6 = 6/5

cot fi = 5/6