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antiseptic1488 [7]
4 years ago
7

Convert to polar form y=3x^2

Mathematics
2 answers:
cluponka [151]4 years ago
7 0

<span>r=2sin0-3cos0</span>

explain<span>using the formula that links Cartesian to Polar coordinates.<span>∙y=r<span>sinθ</span></span><span>∙x=r<span>cosθ</span></span>then : <span>r<span>sinθ</span>=3r<span>cosθ</span>+2</span>and <span>r<span>sinθ</span>−3r<span>cosθ</span>=2</span>hence <span>r<span>(<span>sinθ</span>−3<span>cosθ</span>)</span>=2</span></span>

<span>⇒r=<span><span>2<span><span>sinθ</span>−3<span>cosθ</span></span></span></span></span>

Levart [38]4 years ago
6 0

<span>r = <span>2/(<span><span>sinθ</span>−3<span>cosθ)</span></span></span></span>

Explanation:<span>y = r sin θ
<span>x = r <span>cos θ</span></span>Then: <span>r <span>sin θ</span>=3r <span>cos θ </span>+ 2</span>and <span>r <span>sin θ </span>−3r <span>cos θ </span>= 2</span>thus <span>r <span>(<span>sin θ</span>−3 <span>cos θ</span>) </span>=2</span></span>

<span>⇒r =<span><span>2/(<span><span>sin θ</span>−3 <span>cos θ)</span></span></span></span></span>

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