Question

Prove that `cos 80^@/sin 10^@  + cos 59^@ cosec 31^@ = 2`

Answer 1

Cos 80° = cos (90° - 10°) = sin 10°

`=> sin 10^@/sin 10^@  +   sin 31^@ cosec 31^@`

= 1 + 1 = 2         `[∵ sin theta cosec theta = 1]`

Hence proved