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Solve the equation for x. arctan(5x – 9) = -1 Step 1 The original equation arctan(5x – 9) = -1 specifies the arctan of an expression. To solve it, take the tangent tangent of each side and rewrite the equation. tan tan [arctan(5x – 9)] = tan v tan (-1) Step 2 Simplify the above equation. (Round your answers to three decimal places.) 5x - = tan( X = |(tan(-1) + 9) 1. (-(tan(1)) + 9) X =

Solve the equation for x. arctan(5x – 9) = -1 Step 1 The original equation arctan(5x – 9) = -1 specifies the arctan of an expression. To solve it, take the tangent tangent of each side and rewrite the equation. tan tan [arctan(5x – 9)] = tan v tan (-1) Step 2 Simplify the above equation. (Round your answers to three decimal places.) 5x - = tan( X = |(tan(-1) + 9) 1. (-(tan(1)) + 9) X =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Solve the equation for x.** \[\text{arctan}(5x - 9) = -1\] --- **Step 1** The original equation \(\text{arctan}(5x - 9) = -1\) specifies the arctan of an expression. To solve it, take the tangent of each side and rewrite the equation. \[ \begin{align*} \text{tan} [\text{arctan}(5x - 9)] &= \text{tan} (-1) \\ 5x - 9 &= \text{tan} (-1) \end{align*} \] --- **Step 2** Simplify the above equation. (Round your answers to three decimal places.) \[5x - \quad \_ \quad = \text{tan}( \quad \_ \quad )\] \[ x = \frac{1}{\_} (\text{tan}(-1) + 9) \] \[ x = \frac{1}{\_} (-(\text{tan}(1)) + 9) \] \[x = \_\]
Transcribed Image Text:**Solve the equation for x.** \[\text{arctan}(5x - 9) = -1\] --- **Step 1** The original equation \(\text{arctan}(5x - 9) = -1\) specifies the arctan of an expression. To solve it, take the tangent of each side and rewrite the equation. \[ \begin{align*} \text{tan} [\text{arctan}(5x - 9)] &= \text{tan} (-1) \\ 5x - 9 &= \text{tan} (-1) \end{align*} \] --- **Step 2** Simplify the above equation. (Round your answers to three decimal places.) \[5x - \quad \_ \quad = \text{tan}( \quad \_ \quad )\] \[ x = \frac{1}{\_} (\text{tan}(-1) + 9) \] \[ x = \frac{1}{\_} (-(\text{tan}(1)) + 9) \] \[x = \_\]
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