Help please? #costheta -tanthetacostheta =0#

Question

Mar 1, 2018

l

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Answer 1 · 2018-03-01T21:31:56

#x=pi/4+pin#

#cosx-tanxcosx=0#

Factor:

#cosx(1-tanx)=0#

#:.#

#cos(x)=0#

#x=arccos(cosx)=arccos(0)=>x=pi/2+2pin,(3pi)/2+2pin#

#tanx# is undefined for these values.

#1-tanx=0#

#tanx=1#

#x=arctan(tanx)=arctan(1)=>x=pi/4+pin#

For integers #n#

Non of the choices given satisfy the equation.

There must be a mistake somewhere.