Prove that: `sin(60^0-theta)cos(30^0+theta)+cos(60^0-theta)sin(30^0+theta)=1.`

Prove that: sin(60^(@)-theta)cos(30^(@)+theta)+cos(60^(0)-theta)sin(30^(@)+theta)=1

Prove that: (sin(180^0+theta)cos(90^0+theta)t a n(270^0-theta)cot(360^0-theta))/(sin(360^0-theta)cos(360^0+theta)cos e c(-theta)"sin"(270^0+theta))=1

sin(30^o +theta) +cos(60^o +theta) :

Prove that : (sinthetacos(90^0-theta)costheta)/(sin(90^0-theta))+(costhetasin(90^0-theta)sintheta)/(cos(90^0-theta))=1

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

Prove that sin (30^(@) + theta) + cos (60^(@) + theta) = cos theta

Prove that sin (270^(@)-theta) sin (90^(@)-theta)-cos(270^(@)-theta) cos (90^(@)+theta)+1=0

Prove that cos theta+ sin (270^@-theta)- sin (270^@-theta)+ cos (180^@+theta)=0 .

Prove that 1-cos^2theta-sin^2theta=0

Evaluate sin(30^(@)+theta)-cos(60^(@)-theta) .