`sinA/(1+cosA)+sinA/(1-cosA)`=`2/sinA`

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

sinA/( 1+cosA) +sinA/(1−cosA) is equal to

(sinA+cosA)^2+(sinA-cosA)^2=

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)

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

Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (cosA)/(1+sinA)+(1+sinA)/(cosA)=2secA

Prove that : (cosA)/(1+sinA)+(1+sinA)/(cosA)=2secA.

(cosA)/(1-tanA)+(sinA)/(1-cotA)=sinA+cosA

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

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