If `xsin(90^@-theta)cot(90^@-theta)=cos(90^@-theta)` , then `x=`

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

The value of (cos(90^0-theta)sec(90^0-theta)tantheta)/(cos e c(90^0-theta)sin(90^0-theta)cot(90^0-theta))+(tan(90^0-theta))/(cottheta)"i s" 1 (b) -1 (c) 2 (d) -2

Prove the following: (cos(90^0-theta)sec(90^0-theta)t a ntheta)/(cosec(90^0-theta)sin(90^0-theta)cot(90^0-theta))+(tan(90^0-theta))/(cottheta)=2

sin(270^(@)-theta).sin(90^(@)-theta)-cos(270^(@)-theta).cos(90^(@)+theta)=

(sin(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)"cosec"(90^(@)+theta)) .

Evaluate sinthetacos(90^(@)-theta)+costhetasin(90^(@)-theta) .

Prove that sinthetacos(90^(@)-theta)=sin^(2)theta

If sintheta+costheta=sqrt(2)cos(90o-theta) , find cottheta .

Prove that: (t a n(90^0-theta)s e c(180^0-theta)sin(-theta))/(sin(180^0+theta)cot(360^0-theta)cosec(90^0-theta))=1

sin(90^circ+theta) is