Question

Eliminate theta between the equation x=acos 3 theta y = b tan 3 theta

Answer 1

Step-by-step explanation:

$x = acos3 \alpha \: \:, \: y = btan3 \alpha \\ \\ sec3 \alpha = \frac{a}{x} \: \: \: tan3 \alpha = \frac{y}{b} \\ Add \: after \: squaring \: on \: both \: sides \\ {sec}^{2} 3 \alpha + {tan}^{2} 3 \alpha = ( { \frac{a}{x} )}^{2} + ( { \frac{y}{b} )}^{2} \\ \: \: \: \: \: \: \: \: \: \: 1 = \frac{ {a}^{2} }{ {x}^{2} } + \frac{ {y}^{2} }{ {b}^{2} } \\ \\ Hope \: it \: will \: help \: you.$