Assume cos(t) = -35 75 where < t < T. Compute the following: 2 cos(-t) = sin(t) = sin(-t) = sin(-t) + cos(-t) = sin²(-t) + cos²(-t) = sin(t) = cos(t + 2) =

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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Assume \( \cos(t) = -\frac{75}{89} \) where \( \frac{\pi}{2} < t < \pi \). Compute the following:

\[ \cos(-t) = \boxed{ } \]

\[ \sin(t) = \boxed{ } \]

\[ \sin(-t) = \boxed{ } \]

\[ \sin(-t) + \cos(-t) = \boxed{ } \]

\[ \sin^2(-t) + \cos^2(-t) = \boxed{ } \]

\[ \sin\left( t - \frac{\pi}{2} \right) = \boxed{ } \]

\[ \cos\left( t + \frac{\pi}{2} \right) = \boxed{ } \]
Transcribed Image Text:Assume \( \cos(t) = -\frac{75}{89} \) where \( \frac{\pi}{2} < t < \pi \). Compute the following: \[ \cos(-t) = \boxed{ } \] \[ \sin(t) = \boxed{ } \] \[ \sin(-t) = \boxed{ } \] \[ \sin(-t) + \cos(-t) = \boxed{ } \] \[ \sin^2(-t) + \cos^2(-t) = \boxed{ } \] \[ \sin\left( t - \frac{\pi}{2} \right) = \boxed{ } \] \[ \cos\left( t + \frac{\pi}{2} \right) = \boxed{ } \]
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