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In Problems 10–12, perform the given operation, where z=2cos85°+isin85°and w=3cos22°+isin22°. Write your answer in polar form.

z·w

Short Answer

Expert verified

The answer isz·w=6cos107°+isin107°

Step by step solution

01

Step 1. Given information

We have been given z=2cos85°+isin85°and localid="1646898828569" w=3cos22°+isin22°.

We have to perform the operationz·w

02

Step 2. Perform the operation

z·w=2cos85°+isin85°×3cos22°+isin22°=6cos85°+22°+isin85°+22°=6cos107°+isin107°

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