Eliminate the parameter to find the cartesian equation of the curve: The equation of the curve is: y=0 from x = to x = x = 3 sin 0, y = cos² 0,- SOSA sos π 2

Q: Sketch the curve r = 3 sin(2θ)

A: To sketch the curve r = 3 sin(2θ) It's amplitude lies between -3 to 3  At θ = 45°, sin(2θ) =…

Q: show that r = cos 2θ is symmetrical with respect to the horizontal axis.

A: show that r = cos 2θ is symmetrical with respect to the horizontal axis.

Q: Write an equation that represents the curve in the form y = a sin(k(x − b)).   amplitude =7 period…

A: Amplitude change while keeping the time period of standard sine function is shown below:

Q: Show that cos 120 cos 40 – 3 cos 40 sin? 40 and use this identity to find an equation in rectangular…

A: We have to show that cos12θ=cos34θ−3cos4θsin24θ Consider  cos12θ=cos34θ=cos3P        Let P=4θ We…

Q: Find y". y= 36 y"-C cot (6x-1)

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Q: es of the five quarter points of y=sinx to determine the corresponding quarter points on the graph…

A: Introduction:

Q: Find a rectangular equation for the following curve and describe the curve. Do not use a calculator.…

A: Given parametric curve x=6cos²(t) ...........(1) y=6sin²(t) ............(2) t in [0,π/2]

Q: Graph the curve r² = 4 cos 0

A: the required graph is difficult to draw by hand so  I have attached the picture  of  r2=4cosθ

Q: Find the Cartesian equation of the image of the line x = 2 under the mapping z → sin(z)

A: (i) find the cartesian equation of the image of the line x=2 under the mapping z→sinz let fz=w=sinz…

Q: Write an equation of the line tangent to this curve at point A r = −8 sin(θ)  polar coordinate…

A: Given query is to find the equation of the tangent line

Q: Find the Cartesian equation of the image of the line x = 2 under the mappingz → sin(z). Sketch…

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Q: Consider the transformation T : R² → R² which reflects a point (x, y) E R² with respect to the line…

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Q: Sketch the curve r= cos 2θ

A: Symmetric test for polar coordinates r=f(θ): If f(θ)=f(-θ) then graph is symmetric about polar…

Q: Graph the curve r = sin(80/5)

A: Given: Equation of the curve: