Find the complex conjugate of the complex number z=3cosθ+3isinθ where θ=π6.
Step 3: Applying this to our complex number, we get z¯=332−3i2
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¯=a−bi.
Step 3 :Step 3: Applying this to our complex number, we get z¯=332−3i2