Question

If 13tan = 5, find the value of (cot + cosec)

Answer 1

Answer:

13tan = 5

tan = 5/13.

cot = 1/tan = 13/5

cot^2 = (13/5)^2

= 169/25

cosec^2 - 1 = 169/25

cosec ^2 = 1 + 169/25

cosec^2 = 194/25

cosec = √194/25

cot + cosec = 13/5 + √194/25

= (65 + √194)/25