Problem

Find the complex conjugate of the complex number z=3cosθ+3isinθ where θ=π6.

Answer

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Answer

Step 3: Applying this to our complex number, we get z¯=3323i2

Steps

Step 1 :Step 1: Replace θ with π6 in z, we get z=3cosπ6+3isinπ6=332+3i2

Step 2 :Step 2: The complex conjugate of a complex number z=a+bi is given by z¯=abi.

Step 3 :Step 3: Applying this to our complex number, we get z¯=3323i2

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