Prove or disprove the statement. If a, b, and y are angles in the same triangle, then prove or disprove sin(a + B) If a + B + y = 180°, then a + ß = 180° sin(a + B) = sin 180° = sin(180°) cos(y) - cos(180°) = (0) cos(y) Hence, sin(a + B)? ✓ sin(y). sin(y) sin(y).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 49E
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Prove or disprove the statement.
If a, b, and y are angles in the same triangle, then prove or disprove sin(a + B)
If a + B + y = 180°, then a + ß = 180°
sin(a + B) = sin 180°
=
sin(180°) cos(y) - cos(180°)
= (0) cos(y)
Hence, sin(a + B)? ✓ sin(y).
Additional Materials
eBook
Sum and Difference Identities for Sine
sin(y)
sin(y).
Transcribed Image Text:Prove or disprove the statement. If a, b, and y are angles in the same triangle, then prove or disprove sin(a + B) If a + B + y = 180°, then a + ß = 180° sin(a + B) = sin 180° = sin(180°) cos(y) - cos(180°) = (0) cos(y) Hence, sin(a + B)? ✓ sin(y). Additional Materials eBook Sum and Difference Identities for Sine sin(y) sin(y).
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