eliminate theta from the following X=4costheta-5sintheta,y=4sintheta+5costheta .
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X² + Y² = 41
Step-by-step explanation:
X²= 16 cos²theta -40 costheta sintheta + 25 sin²theta
Y²= 25 cos²theta -40 costheta sintheta + 16 sin²theta
Adding both:
X²+Y²=(16 cos²theta+16 sin²theta)+(25 sin²theta+25 cos²theta)-40 costheta sintheta+40 costheta sintheta
=16+25+0=41
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