10.(sin(90^(@)-A)cos(90^(@)-A))/(tan A)=1-sin^(2)A

Prove that (i) sin (90^(2)-A)cos (90^(@)-A)=(tanA)/(1+tan^(2)A) (ii) (cos(90^(@)-A).cosA)/(cotA)-sin^(2)A=0

Prove that : (i) sinthetacos(90^(@)-theta)+sin(90^(@)-theta)costheta=1 (ii) sectheta" cosec"(90^(@)-theta)-tanthetacot(90^(@)-theta)=1 (iii) (sintheta*sec(90^(@)-theta)cot(90^(@)-theta))/("cosec"(90^(@)-theta)*costheta*tantheta)-(tan(90^(@)-theta))/(cottheta)=0 (iv) (1+sin(90^(@)-theta))/(cos(90^(@)-0))+(cos(90^(@)-theta))/(1+sin(90^(@)-0))=2"cosec"theta

Prove that : (i) sinthetacos(90^(@)-theta)+sin(90^(@)-theta)costheta=1 (ii) sectheta" cosec"(90^(@)-theta)-tanthetacot(90^(@)-theta)=1 (iii) (sintheta*sec(90^(@)-theta)cot(90^(@)-theta))/("cosec"(90^(@)-theta)*costheta*tantheta)-(tan(90^(@)-theta))/(cottheta)=0 (iv) (1+sin(90^(@)-theta))/(cos(90^(@)-0))+(cos(90^(@)-theta))/(1+sin(90^(@)-0))=2"cosec"theta

Prove the following identities: (i) costhetasin(90^o-theta)+sinthetacos(90^o-theta)=1 (ii) (sin(90^o-theta))sintheta/(tantheta)-1=-sin^2theta (iii) (sin(90^o-theta)cos(90^o-theta))/(tantheta)=1-sin^2theta

Prove the following identities: cos theta sin(90o-theta)+sin theta cos(90o-theta)=1sin(sin(90o-theta))/(tan theta)-1=-sin^(2)theta( iii) (sin(90o-theta)cos(90o-theta))/(tan theta)=1-sin^(2)theta

Prove the following: (cos(90^(@)-theta)sec(90^(@)-theta)tan theta)/(cos ec(90^(@)-theta)sin(90^(@)-theta)cot(90^(@)-theta))+(tan(90^(@)-theta))/(cot theta)=2

(sin30^(@)-sin90^(@)+2cos0^(@))/(tan30^(@)tan60^(@))

The value of (cos(90^(0)-theta)sec(90^(@)-theta)tan theta)/(csc(90^(@)-theta)sin(90^(@)-theta)cot(90^(@)-theta))+(tan(90^(@)-theta))/(cot theta) is 1(b)-1(c)2(d)-2

(4(sin^(2)60^(@)+cos^(2)60^(@)))/(tan^(2)45^(@)-cos^(2)90^(@)+sin90^(@))

Show that : sin A cos A - (sin A cos(90^(@) - A) cos A)/ (sec (90^(@) - A)) - (cos A sin (90^(@) - A) sin A)/ (cosec (90^(@) - A)) = 0