Question

Ifcot theta= 3/4 and π<theta< 3π/4 then find the value of 4cosectheta+ 5costheta​

Answer 1

by applying sec square theta = 1 + tan square theta formula, you will get

sec theta = -5/3 ( because theta is in third quadrant)

so, cos theta = -3/5

also, by applying cosec square theta = 1 + cot square theta formula, you will get

cosec theta = -5/4

so, at last put this value in equation and you will get -8.

Hope, i will do right .