Math, asked by Animelover007, 3 days ago

simplify
(1+cot^2 theta) (1-cos theta) (1+cos theta)

pls help​

Answers

Answered by Anonymous
1

Answer:

Given:

(1 +  { \cot^{2} ∅})(1 -  \cos∅)(1 +  \cos∅) \\  =  { \csc^{2} ∅ } \times (1 -  \cos^{2} ∅) \\  =  \frac{1}{ \sin^{2} ∅ }  \times  \sin^{2} ∅ = 1 \\  \\  \\ as \: we \: know \:  \sin^{2} ∅+  \cos^{2} ∅ = 1 \: and \:  \csc∅   =  \frac{1}{ \sin∅}

As the rule of a²-b²=(a+b)(a-b)

1+cot²∅=cosec²∅

Hope you understand.

Answered by Nachiya
1

Answer:

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