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use the given Conditions to find the exact valyes. Of sin(2u) coszu) +tanc2w usingthe double ngle formlas sincu)= -4/5 311 L44 2TT sıncau)= COS(2u)= tan(zu)=

use the given Conditions to find the exact valyes. Of sin(2u) coszu) +tanc2w usingthe double ngle formlas sincu)= -4/5 311 L44 2TT sıncau)= COS(2u)= tan(zu)=

Trigonometry (11th Edition)
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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**Objective:** Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the double angle formulas. **Conditions and Given Information:** - \(\sin(u) = -\frac{4}{5}\) - Angle interval: \(\frac{3\pi}{2} < u < 2\pi\) **Double Angle Formulas:** 1. \(\sin(2u) = 2\sin(u)\cos(u)\) 2. \(\cos(2u) = \cos^2(u) - \sin^2(u)\) 3. \(\tan(2u) = \frac{2\tan(u)}{1-\tan^2(u)}\) **Calculation Tasks:** Calculate the following: - \(\sin(2u) =\) - \(\cos(2u) =\) - \(\tan(2u) =\) **Note:** You'll need to determine \(\cos(u)\) and \(\tan(u)\) using the given \(\sin(u)\) value and the interval constraints to utilize these formulas accurately.
Transcribed Image Text:**Objective:** Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the double angle formulas. **Conditions and Given Information:** - \(\sin(u) = -\frac{4}{5}\) - Angle interval: \(\frac{3\pi}{2} < u < 2\pi\) **Double Angle Formulas:** 1. \(\sin(2u) = 2\sin(u)\cos(u)\) 2. \(\cos(2u) = \cos^2(u) - \sin^2(u)\) 3. \(\tan(2u) = \frac{2\tan(u)}{1-\tan^2(u)}\) **Calculation Tasks:** Calculate the following: - \(\sin(2u) =\) - \(\cos(2u) =\) - \(\tan(2u) =\) **Note:** You'll need to determine \(\cos(u)\) and \(\tan(u)\) using the given \(\sin(u)\) value and the interval constraints to utilize these formulas accurately.
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