Prove that 0!=1

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

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(v) (CosA-SinA+1)/(CosA+SinA-1)=CosecA+CotA using the identity cosec^2 A=1+cot^2 A

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

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

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: ((1+cot 60)/(1-cot 60))^2=(1+cos 30)/(1-cos 30)

Prove that log_2 log_3 9=1

Prove that log_3 log_2 8=1

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