#confused as to when dividing by sin or cos theta whether a set of solutions will be deleted

34 messages · Page 1 of 1 (latest)

junior meteor
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ive noticed that in a lot of questions, dividing by cos theta or sin theta requires you to consider the possibility that sin or cos theta = 0, however in this question, when dividing by cos theta, a set of solutions is apparently not removed. can anyone explain this mechanism to me???

coarse mulch
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you only consider it to be =0 if it was factorised out of the equation @junior meteor

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like if you had cos^2x + cosx=0
then cosx(cosx + 1) = 0
so cosx=0 or cosx + 1 = 0

coarse mulch
junior meteor
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thank you so much

coarse mulch
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np garlic flatbread with cheese & b

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if you have maths questions you can ask me in redacted😊

junior meteor
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omg

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I love you even more now

turbid ivy
# junior meteor I love you even more now

Just for a point of interest, you can solve this using R-conversion / harmonic identity.

$$ \sqrt{29} \sin\left(2x - 20^\circ + \arctan\left(\frac{2}{5}\right)\right) = 0 $$

fathom blazeBOT
turbid ivy
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that i think would give 89.1

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aswell

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but bicen way is better

visual hamlet
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i kinda like harmonic identity more

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it just doesn't mess with the dividing and cancelling

turbid ivy
junior meteor
turbid ivy
junior meteor
turbid ivy
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and cg50 just makes even better sometimes

junior meteor
turbid ivy
junior meteor
coarse mulch
turbid ivy
coarse mulch
junior meteor
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ah right

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I have fx991cw

coarse mulch
turbid ivy