Question

pls somebody solve this question....

Answer 1

We know that

• 1 + tan²A = sec² A

   ⇒ 1 = sec² A - tan² A

  ⇒ 1 = (sec A + tan A ) ( sec A - tan A)

∴   sec A + tan A = 1/(sec A - tan A )................(i)

• 1 + cot² A = cosec² A

  ⇒ 1 =  cosec² A - cot² A

  ⇒ 1 = (cosec A + cot A )(cosec A - cot A)

∴   cosec A + cot A = 1/(cosec A - cot A ).................(ii)

→ By putting the (i) and (ii). on L.H.S we get R.H.S.