(2sin81^(@)-tan^(4)theta^(@))/(cos9^(@))=cot50^(@)

(sin^(2) 20^(@) + sin^(2) 70^(@))/(cos^(2) 20^(@) + cos^(2) 70^(@)) + [ (sin (90^(@) - theta).sin theta)/(tan theta) + (cos (90^(@) - theta).cos theta)/(cot theta) ] .

Without using trigonometric tables,evaluate each of the following: (sin^(2)20^(@)+sin^(2)70^(@))/(cos^(2)20^(0)+cos^(2)70^(@))+(sin(90^(@)-theta)sin theta)/(tan theta)+(cos(90^(@)-theta)cos theta)/(cot theta)+cos(40^(0)+theta)-sin(50^(@)-theta)+(cos^(2)40^(0)+cos^(2)50^(@))/(sin^(2)40^(0)+sin^(2)50^(@))

Show that : (cot(90^(@)-theta)*sin(90^(@)-theta))/(sintheta)+(cot50^(@))/(tan40^(@))=2

Show that : (cot(90^(@)-theta)*sin(90^(@)-theta))/(sintheta)+(cot50^(@))/(tan40^(@))=2

Prove that : (i) tan^(2)A-sin^(2)A=tan^(2)A*sin^(2)A (ii) cot^(2)theta-cos^(2)theta=cot^(2)theta*cos^(2)theta .

Prove that : (i) tan^(2)A-sin^(2)A=tan^(2)A*sin^(2)A (ii) cot^(2)theta-cos^(2)theta=cot^(2)theta*cos^(2)theta .

cot(theta+15^(@))-tan(theta-15^(@))=(4cos2 theta)/(1+2sin2 theta) prove that

If 3cot theta=4 then show that (1-tan^(2)theta)/(1+tan^(2)theta)=(cos^(2)theta-sin^(2)theta)

Prove that (tan^(3)theta)/(1+tan^(2)theta)+(cot^(3)theta)/(1+cot^(2)theta)=sec theta cos ec theta-2sin theta cos theta

Prove: (tan^(3)theta)/(1+tan^(2)theta)+(cot^(3)theta)/(1+cot^(2)theta)=sec theta cos ec theta-2sin theta cos theta