Convert the Cartesian equation x 2 + y 2 + 2y = 0 to a polar equation.
1 answer:
R2(<span>cos2</span>ϕ−<span>sin2</span>ϕ)−2rcosϕ=0<span><span>r2</span>(<span>cos2</span>ϕ−<span>sin2</span>ϕ)−2rcosϕ=0</span>
<span><span><span>r2</span>cos<span>(2ϕ)</span>−2rcosϕ=0</span><span><span>r2</span>cos<span>(2ϕ)</span>−2rcosϕ=<span>0
Now </span></span></span> divide through by <span><span>r≠0</span><span>r≠0</span></span>
and get
<span><span>rcos<span>2ϕ</span>−2cosϕ=0</span><span>rcos<span>2ϕ</span>−2cosϕ=0</span></span>
or
<span><span>r=2<span><span>cosϕ</span><span>cos<span>2ϕ</span></span></span></span><span>r=2<span><span>cosϕ</span><span>cos<span>2<span>ϕ</span></span></span></span></span></span>
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Answer:
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Step-by-step explanation:
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Answer:
DBC = 75
Step-by-step explanation:
ABD and DBC are supplementary angles. They add to 180 degrees.
ABD + DBC = 180
105 + DBC = 180
Subtract 105 from each side
105-105 + DBC = 180-105
DBC = 75
Answer:
7
Step-by-step explanation:
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