Question

If cosec + cot =5 then find value of sec plzzz answer

Answer 1

rearranging the question

1 + cos∆ = 5sin∆

2cos²∆/2 = 10sin∆/2*cos∆/2

2cos∆/2(5sin∆/2 - cos∆/2) = 0

if cos∆/2 =0

cos∆ = -1 -----> sec∆=-1

if tan∆/2 = 1/5

sec∆ = 1 + tan²∆/2 / 1- tan²∆/2

= 13/12