Prove the following: sin theta sin(90^(@)-theta)-cos theta cos(90^(@)-theta)=0

sin theta cos(90^(@)-theta)+cos theta sin(90^(@)-theta)

sin theta cos(90^@ -theta) +cos theta sin(90^@ -theta) = ?

Without using trigonometric tables, evaluate each of the following: (-tanthetacot(90^0-theta)+secthetacos e c(90^0-theta)+sin^2 35^0+sin^2 55^0)/(tan10^0tan20^0tan30^0tan70^0tan80^0)

Prove that :(sin theta cos(90^(0)-theta)cos theta)/(sin(90^(0)-theta))+(cos theta sin(90^(0)-theta)sin theta)/(cos(90^(@)-theta))=1csc^(2)(90^(@)-theta)-tan^(2)theta=cos^(2)(90^(@)-theta)+cos^(2)theta

Find x from the following equation: cos ec(90^(0)+theta)+x cos theta cot(90^(0)+theta)=sin(90^(@)+D)=0

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

Without using trigonometrical tables; prove (sin theta)/(sin(90-theta))+(cos theta)/(cos(90^(@)-theta))=sec theta*cosec theta

Find the value of costhetacos(90^(@)-theta)-sinthetasin(90^(@)-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