Use the polar repreceMUALIOH ol to wrilc (WO expressions for in terms of r ande, your result to express €os 30 and sin 30 in terms Of cos 0 and sin 0....

Perform the indicated operations. Leave the result in polar form. $$\left[0.2\left(\cos 35^{\circ}+j \sin 35^{\circ}\right)\right]^{3}$$

To divide two complex numbers that are intrigued Form all you have to do is divide their module. I so 30 divide by 10, which gives you three and then subtract their angles. So you get co sign 50 degrees plus I sine 50 degrees. What? I swear I sign 50 degrees. Yeah.

Multiply two complex numbers Intrigue farm, you multiply the module I so three times four is 12 and then you add the arguments so chosen 50 plus i sine 50. That is the answer and trick form.

Yeah. to Dwight one campaigns number in polar form by another, their magnitude and varied and their angles are subtracted. Has the magnitude Ecos three squared. You're wide it apart 45. This equals point to the angle equals hamburg and I'm 15 degrees times two minus 80 degrees. Where do you calls? 150°.. Hence, the answer is .2 Times co sign 150° Plus Jay signed 150°..

In this problem, we are given toe e to the power party degree iota to the whole power three. And we are asked to use the evolve A certain, um, to evaluate this complex expression. Now we know that if that is equals toe, are we to the power Tita and is the natural number, then Zed to the power and is equals two r to the power and e to the power iota. And Rita Now, in this case, toe to toe the power 30 degree iota, the whole power to is equals to to you into the power you 30 degrees iota we get this s eight into the power 90 degrees iota. That's a solution in the polar form.