Question

prove that: 1 - cosA / 1+ cosA=(cotA - cosecA)2

Answer 1

Hope u will understand enjoy it

Answer 2

Let's take LHS

⇒$\dfrac{1-cosA}{1+CosA}$

⇒$\dfrac{1-CosA}{1+CosA}$ × $\dfrac{1-CosA}{1-CosA}$

⇒$\dfrac{(1-CosA)²}{1-Cos²A}$

⇒$\dfrac{(1-CosA)²}{Sin²A}$

⇒(cosecA-CotA)²

⇒(cotA-CosecA)² = RHS

hence proved