Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

#SPJ1

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.