Math, asked by vamshithadur, 1 year ago

pls solve this sum needed fastly .. I will mark u as the brainliest ​

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Answers

Answered by sandy1816
1

Step-by-step explanation:

replace θ by A

LHS

cos3A+sin3A/cosA-sinA

=4cos³A-3cosA+3sinA-4sin³A/ cosA-sinA

=4(cos³A-sin³A)-3(cosA-sinA)/(cosA-sinA)

=4(cos³A-sin³A)/cosA-sinA- 3(cosA-sinA)/cosA-sinA

=4(cosA-sinA)(cos²A+cosAsinA+sin²A) -3

=4(1+sinAcosA)-3

=1+4sinAcosA

=1+2.2sinAcosA

=1+2sin2A

=RHS

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