How do you perform the operation in trigonometric form $(\frac{3}{4} (cos (\frac{π}{3}) + i sin (\frac{π}{3})) (4 (cos (\frac{3 π}{4}) + i sin (\frac{3 π}{4}))$ $(3/4(cos(pi/3)+isin(pi/3))(4(cos((3pi)/4)+isin((3pi)/4))$ ?

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How do you perform the operation in trigonometric form $(\frac{3}{4} (cos (\frac{π}{3}) + i sin (\frac{π}{3})) (4 (cos (\frac{3 π}{4}) + i sin (\frac{3 π}{4}))$ $(3/4(cos(pi/3)+isin(pi/3))(4(cos((3pi)/4)+isin((3pi)/4))$ ?

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Answer 1 · 2017-01-02T19:34:35

You multiply the magnitudes and add the angles: $(A (cos (θ) + i sin (θ)) (B (cos (ϕ) + i sin (ϕ))) = A B (cos (θ + ϕ) + i sin (θ + ϕ))$ $(A(cos(theta) + isin(theta))(B(cos(phi) +isin(phi))) = AB(cos(theta+phi) + isin(theta+phi))$

Explanation:

Multiply the $\frac{3}{4}$ $3/4$ and the $4$ $4$ :

$\frac{3}{4} 4 = 3$ $3/4 4 = 3$

Add the angles:

$\frac{3 π}{4} + \frac{π}{3} = \frac{13 π}{12}$ $(3pi)/4 + pi/3 = (13pi)/12$

The answer is:

$3 (cos (\frac{13 π}{12}) + i sin (\frac{13 π}{12}))$ $3(cos((13pi)/12) + isin((13pi)/12))$

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How do you perform the operation in trigonometric form $(\frac{3}{4} (cos (\frac{π}{3}) + i sin (\frac{π}{3})) (4 (cos (\frac{3 π}{4}) + i sin (\frac{3 π}{4}))$ $(3/4(cos(pi/3)+isin(pi/3))(4(cos((3pi)/4)+isin((3pi)/4))$ ?

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Explanation:

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Explanation:

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How do you perform the operation in trigonometric form $(\frac{3}{4} (cos (\frac{π}{3}) + i sin (\frac{π}{3})) (4 (cos (\frac{3 π}{4}) + i sin (\frac{3 π}{4}))$ $(3/4(cos(pi/3)+isin(pi/3))(4(cos((3pi)/4)+isin((3pi)/4))$ ?