sin(a-b)/cosacosb=tana-tanb

nagasenaz

nagasenaz

Answered question

2021-06-10

sin(ab)cosacosb=tanatanb

Answer & Explanation

irwchh

irwchh

Skilled2021-06-11Added 102 answers

Work using the left side. Use the sine of a difference: sin(xy)=sinxcosycosxsiny
sin(ab)cosacosb=sinacosbcosasinbcosacosb
Separate as:
sin(ab)cosacosb=(sinacosbcosacosb)(cosasinbcosacosb)
Cancel common factors: sin(ab)cosacosb=(sinacosa)(sinbcosb)
Use the quotient identity: tanx=sinxcosx
sin(ab)cosacosb=tanatanb

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