Math, asked by sumitrajsumitraj164, 6 hours ago

cos ^3 theta+ sine^3 theta /cos theta+sin theta +
cos ^3 theta-sin^3 theta/
cos theta - sin theta
=2​

Answers

Answered by ananya2006sri
0

Answer:

(Cos³Ø+Sin³Ø)/CosØ+SinØ+(Cos³Ø-Sin³Ø)/CosØ-SinØ

=CosØ+SinØ(Cos²Ø+Sin²Ø)/CosØ+SinØ

CosØ-SinØ(Cos²Ø-Sin²Ø)/ CosØ-SinØ

=Cos²Ø+Sin²Ø + Cos²Ø-Sin²Ø

=1 + Cos²Ø-(1-Cos²Ø)

=1 + 1

=2

Step-by-step explanation:

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