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precalculus

I"m having trouble finding all the values between 0,2pie that satisfy these equations

2sinXtanX-tanX=1-2sinX


and


sine2X+cosX=o

Re: precalculus

Our Consultant, Linda Danks, answered these questions directly to Jessica yesterday.

Here's what she wrote for the first example:

1.) 2sinXtanX-tanX=1-2sinX



2sinXtanX-tanX-1+2sinX=0

2sinXtanX+2sinX-tanX-1=0

2sinX(tanX+1)-1(tanX+1)=0

(2sinX-1) (tanX+1)=0



2sinX-1=0

2sinX=1

sinX=

x= pi/6, 5pi/6



tanX+1=0

tanX= -1

x= 3pi/4, 7pi/4

Re: precalculus

Second question:
2.) 2sinX+cosX=0

2sinXcosX+cosX=0

cosX(2sinX+1)=0


cosX=0

x= pi/2, 3pi/2


2sinX+1=0

2sinX= -1
sinX= -1/2

x= 7pi/6, 11pi/6

Re: precalculus

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