निम्नलिखित का मान ज्ञात कीजिए ।
`sec^(2) 10^(@) - cot^(2) 80^(@) + (sin 15^(@) * cos 75^(@) + cos 15^(@) * sin 75^(@))/(cos theta sin (90^(@) - theta) + sin theta cos (90^(@) - theta))`

Find the value of sec^(2)10^(@)-cot^(2)80^(@)+(sin15^(@)cos75^(@)+cos15^(@)sin75^(@))/(costhetasin(90^(@)-theta)+sinthetacos(90^(@)-theta)) .

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

((cos (90 ^ (@)) - theta) sin (90 ^ (@) - theta)) / (tan (90 ^ (@) - theta))

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

sin theta cos (90^(@) - theta) + cos theta sin ( 90^(@)-0)= ________

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

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

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

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

Evaluate: (sec 29^(@))/("cosec" 61^(@)) + 2 cot 8^(@) cot 17^(@) cot 45^(@) cot 73^(@) cot82^(@) - 3(sin^(2) 38^(@) + sin^(2) 52^(@)) + 4[cos theta sin(90^(@) - theta) + sin theta cos (90^(@) - theta)]