\( 9 \angle 4 \)

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The notation \( 9 \angle 4 \) typically represents a complex number in polar form, where \( 9 \) is the magnitude (or modulus) and \( 4 \) is the angle (or argument) in radians. To convert this to rectangular form (a + bi), you can use the following formulas: \[ x = r \cos(\theta) \] \[ y = r \sin(\theta) \] where \( r \) is the magnitude and \( \theta \) is the angle. In this case: - \( r = 9 \) - \( \theta = 4 \) radians Now, calculate \( x \) and \( y \): \[ x = 9 \cos(4) \] \[ y = 9 \sin(4) \] Using a calculator to find the cosine and sine of \( 4 \) radians: \[ \cos(4) \approx -0.6536 \] \[ \sin(4) \approx -0.7568 \] Now substitute these values into the equations for \( x \) and \( y \): \[ x \approx 9 \times -0.6536 \approx -5.8824 \] \[ y \approx 9 \times -0.7568 \approx -6.8112 \] Thus, the rectangular form of \( 9 \angle 4 \) is approximately: \[ -5.8824 - 6.8112i \] So, \( 9 \angle 4 \) in rectangular form is approximately: \[ -5.8824 - 6.8112i \]