How do you perform the operation in trigonometric form $(cos 5 + i sin 5) (cos 20 + i sin 20)$ $(cos5+isin5)(cos20+isin20)$ ?

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How do you perform the operation in trigonometric form $(cos 5 + i sin 5) (cos 20 + i sin 20)$ $(cos5+isin5)(cos20+isin20)$ ?

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Answer 1 · 2017-06-19T12:49:31

$cos 25 + i sin 25$ $cos25+isin25$

Explanation:

$given$ $"given"$

$z_{1} = r_{1} ({cos θ}_{1} + i {sin θ}_{1}) and$ $z_1=r_1(costheta_1+isintheta_1)" and "$

$z_{2} = r_{2} ({cos θ}_{2} + i {sin θ}_{2}) then$ $z_2=r_2(costheta_2+isintheta_2)" then"$

$z_{1} . z_{2} = r_{1} . r_{2} (cos (θ_{1} + θ_{2}) + i sin (θ_{1} + θ_{2}))$ $z_1.z_2=r_1.r_2(cos(theta_1+theta_2)+isin(theta_1+theta_2))$

$here r_{1} = r_{2} = 1, θ_{1} = 5, θ_{2} = 20$ $"here " r_1=r_2=1,theta_1=5,theta_2=20$

$\Rightarrow (cos 5 + i sin 5) (cos 20 + i sin 20)$ $rArr(cos5+isin5)(cos20+isin20)$

$= cos 25 + i sin 25$ $=cos25+isin25$

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How do you perform the operation in trigonometric form $(cos 5 + i sin 5) (cos 20 + i sin 20)$ $(cos5+isin5)(cos20+isin20)$ ?

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Explanation:

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Science

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Humanities

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How do you perform the operation in trigonometric form (cos5+isin5)(cos20+isin20)(cos5+isin5)(cos20+isin20)(cos5+isin5)(cos20+isin20)?

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Explanation:

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How do you perform the operation in trigonometric form $(cos 5 + i sin 5) (cos 20 + i sin 20)$ $(cos5+isin5)(cos20+isin20)$ ?