Prove that: tan(Pi/4 - A/2) = cosA/(1 + sinA)

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Class 11 trigo half angle (1 + sinA)/cosA = tan(pi/4 + A/2) #cbse #NDA Class 11 trigo half angle (1 + sinA)/cosA = tan(pi/4 + A/2) #cbse #NDA
Prove that: cot(Pi/4 + A/2) - tan(Pi/4 - A/2) = 2cosA/(1 + sinA) Prove that: cot(Pi/4 + A/2) - tan(Pi/4 - A/2) = 2cosA/(1 + sinA)
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Prove that: tan(Pi/4 - A/2) = root((1 - sinA)/(1 + sinA)) Prove that: tan(Pi/4 - A/2) = root((1 - sinA)/(1 + sinA))
If tan(π.cosθ)=cot(π.sinθ), then prove that cos(θ-π/4)=±1/(2√2) If tan(π.cosθ)=cot(π.sinθ), then prove that cos(θ-π/4)=±1/(2√2)