y = cos), X = sin (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. y

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A: Given that x=2 cost and y=3 sin t where -π2≤t≤π2. To eliminate the parameter ,divide first…

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Q: Consider the parametric equations x= cos 1, y = sin t, 0sts 2n. a. What curve do the points of these…

A: slope = dy/dx = dy/dt /dx/dt

Q: 4. A horse on a merry go round is 7 m from the center and travels at 1Okm/hr. What is its angular…

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Q: Consider the following. x = 4 sin(80), y = 4 cos(80), 0sos (a) Eliminate the parameter to find a…

A: Solution: x=4 sin (8θ)y=4 cos(8θ)  ,     0≤θ≤π4 Let 8θ =t  So,   0≤θ≤π4 multiplying by 80≤8θ≤8π4…

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A: x=sin12θ,  y=cos12θ

Q: Sketch the curve represented by the parametric equations x = 1 + 8t,                 y = 3 − 4t…

A: x=1+8t,  y=3-4t When t=0, x=1+80, y=3-40⇒x=1, y=3 When t=1, x=1+81, y=3-41⇒x=9, y=-1 Now the graph…

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Q: Eliminate the parameter to find a Cartesian equation of the curve. x= cos 21, y=3 sint, 0sts2n

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Q: The parametric equations for the motion of a charged particle released from rest in electric and…

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Q: Identify the curve by finding a Cartesian equation for the curve.17. r = 5 cos θ

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Q: Sketch the curve for each pair of parametric equations. 2=3 cos t, y=5 sin t

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Q: Find the Cartesian equation of the curve: x = 2cos(theta) y = 1 + sin(theta) where theta is…

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Q: 2. Given the parametric equation: x= 4 cos (t), y=9 sin (t), 0 <t< 2n, a) sketch the curve and…

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.