If tan(x) = tan (2x) = = 14 3 (in Quadrant-I), find (Please enter answer accurate to 4 decimal places.)
If tan(x) = tan (2x) = = 14 3 (in Quadrant-I), find (Please enter answer accurate to 4 decimal places.)
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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![**Trigonometric Functions Exercise**
**Problem Statement:**
Given that \(\tan(x) = \frac{14}{3}\) (in Quadrant-I), find the value of \(\tan(2x)\).
**Expression to Evaluate:**
\[ \tan(2x) = \]
(Please enter the answer accurate to 4 decimal places.)
**Solution Steps:**
1. Recall the double-angle formula for tangent:
\[ \tan(2x) = \frac{2 \tan(x)}{1 - \tan^2(x)} \]
2. Substitute \(\tan(x) = \frac{14}{3}\) into the formula.
3. Calculate the value of \(\tan(2x)\) and round to four decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b559ab3-5119-482d-94d5-a98a530a62e8%2F226dee9f-e1cb-4660-bdb4-356fca037290%2Fuybbymj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Trigonometric Functions Exercise**
**Problem Statement:**
Given that \(\tan(x) = \frac{14}{3}\) (in Quadrant-I), find the value of \(\tan(2x)\).
**Expression to Evaluate:**
\[ \tan(2x) = \]
(Please enter the answer accurate to 4 decimal places.)
**Solution Steps:**
1. Recall the double-angle formula for tangent:
\[ \tan(2x) = \frac{2 \tan(x)}{1 - \tan^2(x)} \]
2. Substitute \(\tan(x) = \frac{14}{3}\) into the formula.
3. Calculate the value of \(\tan(2x)\) and round to four decimal places.
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