Prove that:
`"cosec"(270^(@)-A)"cosec"(270^(@)+A)+cot(270^(@)-A)cot(270^(@)+A)=1`

cosA+sin(270^(@)+A)-sin(270^(@)-A)+cos(180^(@)+A)=?

Prove that: cotA-cot2A="cosec"2A

Prove that: i) sin40^(@)cos50^(@)+cos40^(@)sin50^(@)=1 ii) cot(270^(@)-theta)cot(270^(@)+theta)(cot(540^(@)-theta)cot(540^(@)+theta)=1 iii) cospi/8+cos(3pi)/8+cos(5pi)/8+cos(7pi)/8=0

Prove that: tan720^(@)-cos270^(@)-s in150^(@)cos120^(@)=(1)/(4)

Prove that: (sin(180^(@)+theta)cos(90^(@)+theta)tan(270^(@)-theta)cot(360^(@)-theta))/(sin(360^(@)-theta)cos(360^(@)+theta)cos ec(-theta)sin(270^(@)+theta))=1

cos A + sin (270 ^ (@) + A) -sin (270 ^ (@) - A) + cos (180 ^ (@) + A) = 0

Simplify the following: (i) "sin"(90^(@)+theta)"tan"(270^(@)+theta)cot(90^(@)+theta) cosec(270^(@)+theta) (ii) ("sin"(-theta)"tan"(180^(@)+theta)"tan"(90^(@)+theta))/(cot(90^(@)-theta)cos(360^(@)-theta)"sin"(180^(@)-theta))

Prove that : cosec A- cot A =(1)/(cosecA+cotA)

If A = pi/2 , cos A + sin (270^(@) -A)+ cos (180^(@) +A)=