Trigonometric Identities Question 177
Question: If $ x=a{{\cos }^{3}}\theta ,y=b{{\sin }^{3}}\theta , $ then
Options:
A) $ {{( \frac{a}{x} )}^{2/3}}+{{( \frac{b}{y} )}^{2/3}}=1 $
B) $ {{( \frac{b}{x} )}^{2/3}}+{{( \frac{a}{y} )}^{2/3}}=1 $
C) $ {{( \frac{x}{a} )}^{2/3}}+{{( \frac{y}{b} )}^{2/3}}=1 $
D) $ {{( \frac{x}{b} )}^{2/3}}+{{( \frac{y}{a} )}^{2/3}}=1 $
Show Answer
Answer:
Correct Answer: C
Solution:
$ {{( \frac{x}{a} )}^{1/3}}=\cos ,\theta ,{{( \frac{y}{b} )}^{1/3}}=\sin \theta $ Now square and add.
BETA
