Simplify the expression.
1 answer:
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The trigonometric form of the complex number 1 + 3i is 3.16[cos(71.57)° + isin(71.57°)]
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more numbers and variables.
Complex number is in the form z = a + bi, where a, b are real numbers.
Given the complex number z = 1 + 3i
In polar form: r = √(1² + 3²) = 3.16
Ф = tan⁻¹ (3/1) = 71.57⁰
The trigonometric form of the complex number 1 + 3i is 3.16[cos(71.57)° + isin(71.57°)]
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Answer: 19 miles
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between the hiker and the camp) and a and b are the other sides.
Replacing with the values given:
x^2 = 6^2 + 18^2
x^2 = 36+324
x^2 = 360
x = √360
x = 18.97miles = 19 miles
Feel free to ask for more if needed or if you did not understand something.
