Transform cot B + tan B to csc B sec B

ossidianaZ

ossidianaZ

Answered question

2021-05-13

Transform cotB+tanBcscBsecB

Answer & Explanation

gwibdaithq

gwibdaithq

Skilled2021-05-14Added 84 answers

Use the quotient identities: cotB+tanB=(cosBsinB)+(sinBcosB)
Add using the LCD which is sinBcosB: cotB+tanB=(cosBsinB)(cosBcosB)+(sinBcosB)(sinB+sinB)
cotB+tanB=cos2BsinBcosB+sin2BsinBcosB
cotB+tanB=cos2B+sin2BsinBcosB
Use the Pythagorean identity: cos2B+sin2B=1
cotB+tanB=1sinBcosB
cotB+tanB=(1sinB)(1cosB)
Use reciprocal identities:
cotB+tanB=cscBsecB
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-11Added 2605 answers

Transformation:

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