Prove (Sin ∅+Cos ∅)(Tan ∅+Cot ∅)=Sec ∅+Cosec ∅

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Prove (Sin ∅ + Cos ∅)(Tan ∅ + Cot ∅) = Sec ∅ + Cosec ∅

Prove (Sin Theta + Cos Theta)(Tan Theta + Cot Theta) = Sec Theta + Cosec Theta
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Sir please solve this problem...

Prove that the diagonals of a rectangle with vertices (0, 0), (a, 0), (a, b) and (0, b) bisect each each other and are equal.

adarsh