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Prove the following identities : √(1 + sin θ/1 - sin θ) + √(1 - sin θ/1 + sin θ) = 2 sec θ

Prove the following identities : √(1 + sin θ/1 - sin θ) + √(1 - sin θ/1 + sin θ) = 2 sec θ
Prove the following identities : √(1 - sin θ/1 + sin θ) = cos θ/1 + sin θ

Prove the following identities : √(1 - sin θ/1 + sin θ) = cos θ/1 + sin θ
Prove the following identities : √(1 - sin θ/1 + sin θ) = sec θ - tan θ

Prove the following identities : √(1 - sin θ/1 + sin θ) = sec θ - tan θ
Prove the following identities : √(1 - cos θ/1 + cos θ) = 1 - cos θ/sin θ

Prove the following identities : √(1 - cos θ/1 + cos θ) = 1 - cos θ/sin θ
Prove the following identities : √(1 + cos θ/1 - cos θ) = 1 + cos θ/sin θ

Prove the following identities : √(1 + cos θ/1 - cos θ) = 1 + cos θ/sin θ
Prove the following identities : 1 - cos θ/1 + cos θ = (cot θ - cosec θ)²

Prove the following identities : 1 - cos θ/1 + cos θ = (cot θ - cosec θ)²
Prove the following identities : tan θ/1 - cot θ + cot θ/1 - tan θ = 1 + tan θ + cot θ

Prove the following identities : tan θ/1 - cot θ + cot θ/1 - tan θ = 1 + tan θ + cot θ
Prove the following identities : cosec θ + cot θ - 1/cot θ - cosec θ + 1 = 1 + cos θ/sin θ

Prove the following identities : cosec θ + cot θ - 1/cot θ - cosec θ + 1 = 1 + cos θ/sin θ
Prove the following identities : tan² φ + cot² φ + 2 = sec² φ. cosec² φ

Prove the following identities : tan² φ + cot² φ + 2 = sec² φ. cosec² φ
Prove the following identities : tan² φ - sin² φ - tan² φ. sin² φ = 0

Prove the following identities : tan² φ - sin² φ - tan² φ. sin² φ = 0
Prove the following identities : cot² θ - cos² θ = cot² θ. cos² θ

Prove the following identities : cot² θ - cos² θ = cot² θ. cos² θ
Prove the following identities : 1/1 - sin θ - 1/1 + sin θ = 2 tan θ/cos θ

Prove the following identities : 1/1 - sin θ - 1/1 + sin θ = 2 tan θ/cos θ
Prove the following identities : 1/1 + cos θ + 1/1 - cos θ = 2/sin² θ

Prove the following identities : 1/1 + cos θ + 1/1 - cos θ = 2/sin² θ
Prove the following identities : cos θ/1 - sin θ + cos θ/1 + sin θ = 2/cos θ

Prove the following identities : cos θ/1 - sin θ + cos θ/1 + sin θ = 2/cos θ
Prove the following identities : 1 + sin θ/cos θ + cos θ/1 + sin θ = 2 sec θ

Prove the following identities : 1 + sin θ/cos θ + cos θ/1 + sin θ = 2 sec θ
Prove the following identities : 1/1 + sin θ + 1/1 - sin θ = 2 sec² θ

Prove the following identities : 1/1 + sin θ + 1/1 - sin θ = 2 sec² θ
Prove the following identities : sin θ/1 + cos θ + 1 + cos θ/sin θ = 2/sin θ

Prove the following identities : sin θ/1 + cos θ + 1 + cos θ/sin θ = 2/sin θ
Prove the following identities : cos A/1 - tan A + sin A/1 - cot A = sin A + cos A

Prove the following identities : cos A/1 - tan A + sin A/1 - cot A = sin A + cos A
Prove the following identities : 2(sin⁶ θ + cos⁶ θ) - 3(sin⁴ θ + cos⁴ θ) + 1 = 0

Prove the following identities : 2(sin⁶ θ + cos⁶ θ) - 3(sin⁴ θ + cos⁴ θ) + 1 = 0
Prove the following identities : (sin⁸ θ - cos⁸ θ) = (sin² θ - cos² θ)(1 - 2 sin² θ. cos² θ)

Prove the following identities : (sin⁸ θ - cos⁸ θ) = (sin² θ - cos² θ)(1 - 2 sin² θ. cos² θ)
Prove the following identities : cos θ/(1 + sin θ_ = (1 - sin θ)/cos θ

Prove the following identities : cos θ/(1 + sin θ_ = (1 - sin θ)/cos θ
Prove the following identities : (1 + cos θ/sin θ)² = 1 + cos θ/1 - cos θ

Prove the following identities : (1 + cos θ/sin θ)² = 1 + cos θ/1 - cos θ
Prove the following identities : (1 - cos θ/1 + cos θ) = ((1 - cos θ/sin θ))²

Prove the following identities : (1 - cos θ/1 + cos θ) = ((1 - cos θ/sin θ))²
Prove the following identities : (1 - sin θ/1 + sin θ) = ((1 - sin θ/cos θ))²

Prove the following identities : (1 - sin θ/1 + sin θ) = ((1 - sin θ/cos θ))²
Prove the following identities : cot θ + tan θ = cosec θ. sec θ

Prove the following identities : cot θ + tan θ = cosec θ. sec θ
Prove the following identities : cos² θ/sin θ + sin θ = cosec θ

Prove the following identities : cos² θ/sin θ + sin θ = cosec θ
Prove the following identities : sec² θ + cosec² θ = sec² θ. cosec² θ

Prove the following identities : sec² θ + cosec² θ = sec² θ. cosec² θ
Prove the following identity : 1 - 2sin² θ + sin⁴ θ = cos⁴ θ

Prove the following identity : 1 - 2sin² θ + sin⁴ θ = cos⁴ θ
Prove the following identity : 1 - 2cos⁴ θ + cos⁴ θ = sin⁴ θ

Prove the following identity : 1 - 2cos⁴ θ + cos⁴ θ = sin⁴ θ
Prove the following identity : 2cos² θ - cos⁴ θ + sin⁴ θ = 1

Prove the following identity : 2cos² θ - cos⁴ θ + sin⁴ θ = 1