V3 1 +- i is a cube root of i. 2 Show that V3 To show that 1 i is a cube root of i, which of the following equations must be proven to be tru + - O A. 1 i = i + 2 V3 В. 2 1 i i = V3 +si=3 i 2 OC. 2 OD. 1 i = + - 2 What is the first step to proving this equation to be true? O A. Divide both sides of the equation by 3, to rewrite the right side as just i. B. Take the cube root of both sides of the equation, to rewrite the right side as just i. C. Cube both sides of the equation, to rewrite the right side as just i. O D. Multiply both sides of the equation by 3, to rewrite the right side as just i. Apply the operation identified in the previous step. D=i = i (Do not perform the calculation. Type your answer using exponential notation.) + B.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
V3
1
Show that
+
i is a cube root of i.
2
2
V3
1
+ i is a cube root of i, which of the following equations must be proven to be true?
2
To show that
2
V3
1
3
OA.
2
i = i
+ -
2
V3
Ов.
1
i
+
V3
OC.
1
i = 3 i
+
2
V3
D.
1
3
Vi
+
i =
2
What is the first step to proving this equation to be true?
A. Divide both sides of the equation by 3, to rewrite the right side as just i.
B. Take the cube root of both sides of the equation, to rewrite the right side as just i.
C. Cube both sides of the equation, to rewrite the right side as just i.
O D. Multiply both sides of the equation by 3, to rewrite the right side as just i.
Apply the operation identified in the previous step.
D=i
(Do not perform the calculation. Type your answer using exponential notation.)
Transcribed Image Text:V3 1 Show that + i is a cube root of i. 2 2 V3 1 + i is a cube root of i, which of the following equations must be proven to be true? 2 To show that 2 V3 1 3 OA. 2 i = i + - 2 V3 Ов. 1 i + V3 OC. 1 i = 3 i + 2 V3 D. 1 3 Vi + i = 2 What is the first step to proving this equation to be true? A. Divide both sides of the equation by 3, to rewrite the right side as just i. B. Take the cube root of both sides of the equation, to rewrite the right side as just i. C. Cube both sides of the equation, to rewrite the right side as just i. O D. Multiply both sides of the equation by 3, to rewrite the right side as just i. Apply the operation identified in the previous step. D=i (Do not perform the calculation. Type your answer using exponential notation.)
Now, evaluate the left side. Start by expanding the expression. Which of the following is the correct expansion?
V3
OA.
1
i
1
i
2
V3
1
i
+
- + -
2
1
+ - i
6
В.
3/3
3
OC.
+
2
2
V3
1
1
/3
1
O D.
i
+
+
2
Simplify the left side completely. What is the resulting expression?
(Simplify your answer. Type an exact answer, using radicals and i as needed.)
V3
The equation simplifies to a true statement. Therefore,
1
+
i is a cube root of i.
2
2
Transcribed Image Text:Now, evaluate the left side. Start by expanding the expression. Which of the following is the correct expansion? V3 OA. 1 i 1 i 2 V3 1 i + - + - 2 1 + - i 6 В. 3/3 3 OC. + 2 2 V3 1 1 /3 1 O D. i + + 2 Simplify the left side completely. What is the resulting expression? (Simplify your answer. Type an exact answer, using radicals and i as needed.) V3 The equation simplifies to a true statement. Therefore, 1 + i is a cube root of i. 2 2
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