Question

IF cosecx+ cotx = 5 then evaluate secx.​

Answer 1

Step-by-step explanation:

cosec^2(x) - cot^2(x) = 1.

Or, (cosec x + cot x)(cosec x - cot x) = 1.

Or, 5 × (cosec x - cot x) = 1

Or, cosec x - cot x = 1/5………..(1)

cosec x + cot x = 5………..(2)

(1)+(2)

2 × cosec x = 5+1/5

Or, cosec x = 13/5.

Or, sin x = 5/13

So, cos x = 12/13.

secx=1/cos x

sec x=13/12