eliminate thita. x = 4 cos thita-5sin thita, y=4 sin thita+5 cos thita. plzz.... give me solution. don't give me irrevelent answer
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Answer:
x²+y²=41
Step-by-step explanation:
x=4cos theta-5sin theta------(1)
y=4sin theta+5cos theta------(2)
by squaring on both sides of both equations
x²=16cos²theta+25sin²theta-40sintheta costheta
y²=25cos²theta+16sin²theta+40sintheta costheta
now, add both
we get
x²+y²=41cos²theta+41sin²theta
x²+y²=41(cos²theta+sin2theta)
x²+y²=41(1)
x²+y²=41
please like it.
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