Question: 1. The letters r and 0 represent polar coordinates. Write the equation using rectangular coordinates (x, y). r = 1+ 2 sin 0 O V

 1. The letters r and 0 represent polar coordinates. Write theequation using rectangular coordinates (x, y). r = 1+ 2 sin 0O V x 2 + 12 = x 2 + y2 +2y O x 2 + y 2 = 1/x 2 + 82+ 2x O VX 2 + 1 2 = x2+ y2 +2x O x2 + 12 = Vx2 +yz+2y2. Plot the complex numberin the complex plane. 4+ 3i -6 -2 2 6 R\f\f5. Matchthe graph to one of the polar equations. Or= 1 r =2 sin 0 O r sin 0 = 1 Or= 2 cose\f7. Write the complex number in polar form. Express the argument indegrees, rounded to the nearest tenth, if necessary. 5 5(cos 0' +i sin 0') O 5(cos 90 + i sin 90) 5(cos 270'+ i sin 270') 5(cos 180' + i sin 180')8. Use theinformation given about the angle 0, 0 0 2n, to find theexact value of the indicated trigonometric function. cot 0 = -3, sec0 > 0 Find sin O 3+ 10 20 10+ 3 /1020 O 10- 3 /10 20 O 3-10 209. Use a calculatorto solve the equation on the interval 0 0image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed

1. The letters r and 0 represent polar coordinates. Write the equation using rectangular coordinates (x, y). r = 1+ 2 sin 0 O V x 2 + 12 = x 2 + y2 + 2y O x 2 + y 2 = 1/x 2 + 82 + 2x O VX 2 + 1 2 = x2+ y2 + 2x O x2 + 12 = Vx2 +yz+2y2. Plot the complex number in the complex plane. 4+ 3i -6 -2 2 6 R\f\f5. Match the graph to one of the polar equations. Or= 1 r = 2 sin 0 O r sin 0 = 1 Or= 2 cos e\f7. Write the complex number in polar form. Express the argument in degrees, rounded to the nearest tenth, if necessary. 5 5(cos 0' + i sin 0') O 5(cos 90 + i sin 90) 5(cos 270' + i sin 270') 5(cos 180' + i sin 180')8. Use the information given about the angle 0, 0 0 2n, to find the exact value of the indicated trigonometric function. cot 0 = -3, sec 0 > 0 Find sin O 3+ 10 20 10+ 3 /10 20 O 10- 3 /10 20 O 3-10 209. Use a calculator to solve the equation on the interval 0 0

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