1.

Find the distance between the points `( acostheta, asintheta) ` from the origin.

Answer» Distance between the points `( acostheta, asintheta) ` and origin (0, 0)
` " "=sqrt((acostheta-0 )^(2)+(asintheta-0)^(2))`
`" "=sqrt (a^(2)cos^(2)theta+a^(2)sin^(2)theta)=sqrt(a^(2) (cos^(2)theta+sin^(2)theta)) `
`" "=sqrt(a^(2))`
`" "=a" units"" "(because cos^(2)theta+sin^(2)theta=1)`


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