Question

Prove the following identities-

1.
∅
1
−
∅
+

∅
1−

∅ =1 + ∅ ∅

2. (SinA + CosecA)2 + (CosA + SecA)2 = 7+tan2A+cot2A​

Answer 1

Answer:

Prove the following trigonometric identities:

1. (1 – cos2 A) cosec2 A = 1

Solution:

Taking the L.H.S,

(1 – cos2 A) cosec2 A

= (sin2 A) cosec2 A [∵ sin2 A + cos2 A = 1 ⇒1 – sin2 A = cos2 A]

= 12

= 1 = R.H.S

– Hence Proved