Which values of x and y would make the following expression represent a real number? (4 + 5i)(x + yi) x = 4, y = 5 x = –4, y = 0
2 answers:
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First solve for theta in 'x' equation:
Substitute into 'y' equation:
Simplify by rewriting cos in terms of sine.
Using pythagorean identity:
Simplify using inverse function property:
Substitute into 'y' equation:
Simplify by rewriting cos in terms of sine.
Using pythagorean identity:
Simplify using inverse function property: