211, (1) Prove that tan x + cot x can never be equal to – InterviewSolution

1.

211, (1) Prove that tan x + cot x can never be equal to

Answer»

Tanx + cotx = sinx/cosx+cosx/sinx

=(sin^2x+cos^2x)/sinx×cosx

=1/sinx×cosx.

so,this can not be 3/2 as it is in the form 1/q,

where q = sinx×cosx.

which will always be less than 1.

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