Math, asked by aryan1ee84, 10 months ago

answer this question pls

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Answers

Answered by dorgan399
68

QUESTION

TO PROVE

3(sinø+cosø)-(sinø+cosø)³ = 2(sin³ø+ cos³ø)

ANSWER

LHS

3(sinø+cosø)-(sinø+cosø)³

=(sinø+cosø)[3-(sinø+cosø)²]

=(Sinø +Cosø)[3-(sin²ø+cos²ø+2sinø cosø)]

=(Sinø +Cosø)[3-(1+2sinø cosø)]

=(Sinø +Cosø)[2-2sinø cosø]

=2(Sinø +Cosø)[1-sinø cosø]

=2(Sinø +Cosø)[sin²ø+cos²ø-sinø cosø]

=2(sin³ø+cos³ø)

(as [a+b][a²+b²-ab]=a³+b³)

RHS

=2(sin³ø+cos³ø)

THEREFORE LHS=RHS

(VERIFIED)

Answered by Anonymous
10

Step-by-step explanation:

idhar dekho.

(눈‸눈)(눈‸눈)(눈‸눈)(눈‸눈)

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