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Solve the equation sin z = 2 for z by RIC (a) equating real parts and then imaginary parts in that equation; (b) using expression (2), Sec. 40, for sin¹ z. 1 Ans. z = 2n + 2 л±iln(2+√√3)(n = 0, ±1, ±2,...).

Solve the equation sin z = 2 for z by RIC (a) equating real parts and then imaginary parts in that equation; (b) using expression (2), Sec. 40, for sin¹ z. 1 Ans. z = 2n + 2 л±iln(2+√√3)(n = 0, ±1, ±2,...).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 69E
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Expression (2): sin^-1(z) = log[z + (z^2 +1)^1/2]

Also note the answers should be the same for parts a and b and should match the answer given below the problem

2. Solve the equation sin z = 2 for z by TRIC (a) equating real parts and then imaginary parts in that equation; (b) using expression (2), Sec. 40, for sin¹ z. Ans. z = (2n+) л±iln(2+√√3)(n = 0, ±1, ±2, ...).
Transcribed Image Text:2. Solve the equation sin z = 2 for z by TRIC (a) equating real parts and then imaginary parts in that equation; (b) using expression (2), Sec. 40, for sin¹ z. Ans. z = (2n+) л±iln(2+√√3)(n = 0, ±1, ±2, ...).
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