Evaluate the expression under the given conditions. tan(? + ?); cos(?) = − 1/3, ? in Quadrant III, sin(?) = 1/4, ? in Quadrant II
Evaluate the expression under the given conditions. tan(? + ?); cos(?) = − 1/3, ? in Quadrant III, sin(?) = 1/4, ? in Quadrant II
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°.
Related questions
Question
Evaluate the expression under the given conditions.
tan(? + ?); cos(?) = − 1/3, ? in Quadrant III, sin(?) = 1/4, ? in Quadrant II
Expert Solution
Step 1
cos(x) = -1/3 , x in iii quadrant
Thus, as cos(109.4712°) = -1/3
Hence, in third quadrant, it will be
x = 360° - 109.4712°
=> x = 250.5288°
Sin(y) = 1/4 , y in 2nd quadrant
Hence,
y = 165.5225°
Step by step
Solved in 2 steps
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning