The phase of a complex number a + bi is calculated using the formula Φ = atan2(b, a). In this case, a = 9 and b = 5.

Step 1: Plug the values into the formula
Φ = atan2(5, 9)

Step 2: Use a calculator to find the arctangent of 5/9. The result is approximately 0.50798 in radians.

Step 3: Convert the result from radians to degrees by multiplying by 180/π.

Φ = 0.50798 * (180/π) ≈ 29.1 degrees

So, the phase of the complex number 9 + 5i is approximately 29.1 degrees. Therefore, the correct answer is 28.90 - 29.10.

Question

The phase of a complex number a + bi is calculated using the formula Φ = atan2(b, a). In this case, a = 9 and b = 5.

Step 1: Plug the values into the formula
Φ = atan2(5, 9)

Step 2: Use a calculator to find the arctangent of 5/9. The result is approximately 0.50798 in radians.

Step 3: Convert the result from radians to degrees by multiplying by 180/π.

Φ = 0.50798 * (180/π) ≈ 29.1 degrees

So, the phase of the complex number 9 + 5i is approximately 29.1 degrees. Therefore, the correct answer is 28.90 - 29.10.

Knowee AI · Accepted Answer

The phase of a complex number a + bi is calculated using the formula Φ = atan2(b, a). In this case, a = 9 and b = 5.

Step 1: Plug the values into the formula
Φ = atan2(5, 9)

Step 2: Use a calculator to find the arctangent of 5/9. The result is approximately 0.50798 in radians.

Step 3: Convert the result from radians to degrees by multiplying by 180/π.

Φ = 0.50798 * (180/π) ≈ 29.1 degrees

So, the phase of the complex number 9 + 5i is approximately 29.1 degrees. Therefore, the correct answer is 28.90 - 29.10.

A pixel in a SAR image looks like 9+5i. Calculate its phase ɸ (in degrees). 60.95 - 60.98 28.90 - 29.10 28.10 - 28.30 60.93 - 60.95