Question: Assume that x, y E R and z = x + iy E C and answer the followings: 1. Evaluate sin(i) =?,cos(i) =?, tan(1+i) =?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.4: Inverse Trigonometric Functions And Right Triangles
Problem 1E: For a function to have an inverse, it must be ___________. To define the inverse sine function, we...
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Question: Assume that x, y ER and z = x + iy E C and answer the followings:
1. Evaluate sin(i) =?, cos(i) =?, tan(1 + i) =?
2. Evaluate Re{sin(x + iy)} =?, Im{cos(x – iy)} =? in terms of x, y.
3. Evaluate |sin(z)²| in terms of x, y.
4. Evaluate arcsin(i) =?, arccos(i) =?, arctan(1 + i) =?
5. Evaluate Jarcsin(z)²| in terms of x, y.
Transcribed Image Text:Question: Assume that x, y ER and z = x + iy E C and answer the followings: 1. Evaluate sin(i) =?, cos(i) =?, tan(1 + i) =? 2. Evaluate Re{sin(x + iy)} =?, Im{cos(x – iy)} =? in terms of x, y. 3. Evaluate |sin(z)²| in terms of x, y. 4. Evaluate arcsin(i) =?, arccos(i) =?, arctan(1 + i) =? 5. Evaluate Jarcsin(z)²| in terms of x, y.
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