Does A\sin b=B \sin b+C \cos b imply C=0?

Jacquelyn Sanders

Jacquelyn Sanders

Answered question

2022-01-23

Does Asinb=Bsinb+Ccosb imply C=0?

Answer & Explanation

SaphypycleDapc5

SaphypycleDapc5

Beginner2022-01-24Added 11 answers

As sinb0 and cosb0, you can divide by sinb to get
A=B+Ccotb
Rearranging this gives
C=(AB)tanb
So
Asinb=Bsinb+Ccosb
does not imply C=0 unless A=B, as it is given sinb0tanb0

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