Show that `(1+sinA-cosA)/(1+sinA+cosA)+(1+sinA+cosA)/(1+sinA-cosA)=2cosecA`

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

Prove that ((cosA+cosB)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n=2cot^n((A-B)/2) or according as n is even or oddrespectively..

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

Show that : {cos(sin^-1 x)}^2={sin(cos^-1 x)}^2

Show that in a triangle ABC, (b^2-c^2)/(cosB+cosC)+(c^2-a^2)/(cosC+cosA)+(a^2-b^2)/(cosA+cosB)=0

If A + B + C= pi , prove that cosA/(sinBsinC)+cosB/(sinCsinA)+cosC/(sinAsinB)=2

Show that : tan^-1 4-tan^-1 3=cot^-1 13

Show that: 1/(1+sintheta)+1/(1-sintheta)=2sec^2theta

Choose the correct option.Justify your choice:(iii) (secA+tanA)(1-sinA) = a)secA b)sinA c)cosecA d)cosA