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What represents vector t = –5i + 12j in trigonometric form?

t = 13 ❬cos 67.38°, sin 67.38°❭
t = 13 ❬sin 67.38°, cos 67.38°❭
t = 13 ❬cos 112.62°, sin 112.62°❭
t = 13 ❬sin 112.62°, cos 112.62°❭

Sagot :

abidemiokin

The representation of the vector in trigonometry form is t = 13 ❬cos 112.62°, sin 112.62°❭

Complex number

The representation of complex number in polar form is expressed as;

y = r(cosФ + isinФ)

where;

r is the modulus

Ф is the argument

Given the vector t = –5i + 12j, the modulus of the vector is given as;

r = √(-5)²+(12)²

r = √25 + 144

r = √169

r = 13

Determine the angle between the vectors

Ф = arctan(-12/5)

Ф = -67.38

Since tan is negative in the second quadrant, hence;

Ф = 180 - 67.38

Ф = 112.62°

The representation of the vector in trigonometry form is t = 13 ❬cos 112.62°, sin 112.62°❭

Learn more on vector here: https://brainly.com/question/25705666

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