3. Consider the Cartesian equation x - y = 2x²y - 2xy², show that its polar form is given by the equation sin (20) T= cos(0)+sin(0)

Q: Let z = 7 (cos (7π/9) + i sin (7π/9))  and w = 6 (cos (2π/3) + i sin (2π/3)).  If zw is expressed…

A: Introduction: A complex number has many different representations. These are the rectangular…

Q: 1. Find each of the following. Write each complex number in the form x+ iy. (a) Write (-2 – i) in…

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Q: 4. Convert the parametric equations into a single Cartesian equation and use this to sketch the…

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Q: Convert to polar form. Then isolate r. (a) x² +y² -9= 0 (b) x² +y = 4x %3D

A: x2+y2-9=0 On simplification, we get ⇒x2+y2=9⇒r2=9         ∵r=x2+y2⇒r2=x2+y2⇒r=3

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 a Cartesian equation from the polar curve 4r sin 0 = 18(rcos 0) +14 1S is

A: Given polar equation is 4rsinθ=18rcosθ2+14  .....1

Q: Find the product z₁z2 and the quotient Express your answers in polar form. 2₁ = 2(cos() + / sin()),…

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Q: Choose the graph of the polar equation “ r=1+cos 0" .

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Q: Write the function in the form y = a sin b(x - c)or y = a cos b(x-c). Find the period and phase…

A: We have to solve period,phase shift and inverse trigonometric function..

Q: The equation can be rewritten in the following polar form: r = 1 r = −1 r cos(20) = 1 r cos(20) p²…

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Q: What is the polar form of the equation? (x + 2)² + y² = 4 O r(r+4sin 0) = 0 O p2 = 4r cos O O r(r+4…

A: We transform the equation by putting the formula.