Simplify the expression of (sinx + cosx)^2 over sinx

(sinx + cosx)^2

_____________

sinx
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1 Answer

the numerator when FOILed becomes

sin^2x +2sinxcosx + cos^2x =

1 + 2sinxcosx

divided by sinx gives

1/sinx +2sinxcosx/sinx =

1/sinx +2cosx =

cscx +2cosx
by Level 5 User (12.9k points)

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