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Prove that: "cosec"(270^(@)-A)"cosec"(...

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

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"cosec"(270^(@)-A)+"cosec"(90^(@)-A)+sec(90^(@)-A)+sec(270^(@)-A)=

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

cot(270^@-theta)=

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

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

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(270^@-theta) =

Simplify : ("sec"(270^@ - A) "sec"(90^@ - A) - tan (270^@ -A) tan (90^@ + A))/(cot A + tan (180^@ + A) + tan (90^@ + A) + tan (360^@ - A) + cos 180^@)