I don't know how to go about solving this, I think I need to use sin2θ+cos2θ=1, but I'm not sure how to go about this.
The closest I managed to get was:
asinA=bcosA
acosA−bsinA=0
a2cos2A+b2sin2A−2abcosAsinA=0
cosAsinA=a2cos2A+b2sin2A2ab
Which seems to vaguely resemble what I need, but I'm not sure of the final steps.
Answer
Notice that
sinAcosA=sinAcosAsin2A+cos2A=tanAtan2A+1
It should be ease for you to continue.
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