`1/(sectheta-tantheta)`

Prove that (costheta)/(sectheta-tantheta)=1+sintheta .

If costheta=-3/5 and pilttheta<(3pi)/2 find the values of other five trigonometric functions and hence evaluate (cosectheta-cottheta)/(sectheta-tantheta) .

Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(sectheta-tantheta)^2

Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta-tantheta)^2

Prove that : (tan theta)/(sectheta+1)-(tantheta)/(1-sectheta)=2cosec theta

Prove the following identities: (sectheta-tantheta)/(sectheta+tantheta)=1-2secthetatantheta+2tan^2theta

Prove that : (sintheta)/(sectheta+tantheta-1)+(costheta)/("cosec"theta+cottheta-1)=1

Prove that : (sectheta-tantheta)^(2)=(1-sintheta)/(1+sintheta)

If (sectheta+tantheta)(secphi+tanphi)(secPsi+tanPsi)=tanthetatanphitanPsi, then prove that (sectheta-tantheta)(secphi-tanphi)(secPsi-tanPsi)=cottheta.cotphi.cotPsi

Solve the following equation : tan^2theta+sec^2theta+3=2(sqrt(2)sectheta+tantheta)