Transform cot B + tan B to csc B sec B

ossidianaZ 2021-05-13 Answered
Transform cotB+tanBcscBsecB
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Expert Answer

gwibdaithq
Answered 2021-05-14 Author has 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
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Jeffrey Jordon
Answered 2021-08-11 Author has 2027 answers

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