Find `(sinA)/(1+cosA)+(1+cosA)/sinA`

Prove that: (sinA)/(1+cotA) -(cosA)/(1+tanA)=sinA-cosA

Prove that : (i) (1-cosA)/(sinA)=(sinA)/(1+cosA) (ii) (costheta)/(1-sintheta)=(1+sintheta)/(costheta)

Prove that: cotA/2-tanA/2=(cosA/2)/(sinA/2)-(sinA/2)/(cosA/2) =(cos^(2)A/2-sin^(2)A/2)/(sinA/2cosA/2) =cosA/(1/2.(2sinA/2cosA/2)) =(2cosA)/(sinA)=2cotA = RHS. Hence Proved.

Show that (1+sinA)/(cosA)+(cosB)/(1-sinB)=(2sinA-2sinB)/(sin(A-B)+cosA-cosB)

Prove the following identities: (cosA)/(1-sinA)+(sinA)/(1-cosA)+1 = (sinAcosA)/((1-sinA)(1-cosA) ((1+cotA+tanA)(sinA-cosA)/(sec^3A-cos e c^3A)=sin^2Acos^2A

Prove that (1+sin2A)/(cos2A)=(cosA+sinA)/(cosA-sinA)=tan((pi)/(4)+A)

Prove the following identities: (cosA)/(1-tanA)+(sinA)/(1-cotA)=cosA+sinA

Prove the following identities: (cosA)/(1-tanA)+(sinA)/(1-cotA)=cosA+sinA

Prove the following identities: (sinA+cosA)/(sinA-cosA)+(sinA-cosA)/(sinA+cosA)=2/(sin^2A-cos^2A)=2/(2sin^2A-1)=2/(1-2cos^2A)

If sqrt((1-sinA)/(1+sinA))+(sinA)/(cosA)=(1)/(cosA), for all permissible values of A, then A belongs to (a) First Quadrant (b) Second Quadrant (c) Third Quadrant (d) Fourth Quadrant