Question

Your answer is incorrect. Try again. Express the complex number in rectangular form. 11 (cos (270°) + i sin (270°))

Answer 1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant.

11(−cos(90)+isin(270))

The exact value of cos(90) is 0.

11(−0+isin(270))

Multiply −1 by 0.

11(0+isin(270))

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant.

11(0+i(−sin(90)))

The exact value of sin(90) is 1.

11(0−i)

-11i

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