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Step2247 [10]
4 years ago
6

Q3: Find the values of e, a, b, and c for r = 21/5-2 cos theta.

Mathematics
2 answers:
-BARSIC- [3]4 years ago
7 0

Answer:

e = 2/5

a = 5

b = √21

c = 2

Step-by-step explanation:

The first step is to write the given polar equation in standard form by dividing the numerator and denominator by 5;

r=\frac{\frac{21}{5} }{1-\frac{2}{5}costheta }

The eccentricity of this conic section is thus 2/5, the coefficient of cos theta. Nevertheless, the eccentricity of a conic section can also be evaluated using the equation;

e=\frac{c}{a}

This implies that ;

a = 5

c = 2

The value of b is determined using the relation;

b^{2}=a^{2}-c^{2}   \\b=\sqrt{25-4} \\b=\sqrt{21}

nataly862011 [7]4 years ago
5 0

Answer:

The answer choice is C

Step-by-step explanation:

No

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