Verify the Identity. (sin(t) + cos(t))² sin(t) cos(t) (sin(t) + cos(t))² = 2 + sec(t) csc(t) sin(t) cos(t) sin²(t) + 2 sin(t) cos(t) + sin(t) cos(t) sin²(t) + cos² (t) + sin(t) cos(t) 1 sin(t) cos(t) + = = 2 + sec(t) csc(t) = sin(t) cos(t)
Verify the Identity. (sin(t) + cos(t))² sin(t) cos(t) (sin(t) + cos(t))² = 2 + sec(t) csc(t) sin(t) cos(t) sin²(t) + 2 sin(t) cos(t) + sin(t) cos(t) sin²(t) + cos² (t) + sin(t) cos(t) 1 sin(t) cos(t) + = = 2 + sec(t) csc(t) = sin(t) cos(t)
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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![Verify the Identity.
(sin(t) + cos(t))² = 2 + sec(t) csc(t)
sin(t) cos(t)
(sin(t) + cos(t))²_ sin²(t) + 2 sin(t) cos(t) +
sin(t) cos(t)
sin(t) cos(t)
=
sin²(t) + cos² (t) +
sin(t) cos(t)
1
=
+
sin(t) cos(t)
= 2 + sec(t) csc(t)
sin(t) cos(t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6841f1bf-ebcf-44b9-bde6-b1a56299f544%2F97133c9b-97f6-4002-a081-24cb1a0c6f30%2F7c8fnl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Verify the Identity.
(sin(t) + cos(t))² = 2 + sec(t) csc(t)
sin(t) cos(t)
(sin(t) + cos(t))²_ sin²(t) + 2 sin(t) cos(t) +
sin(t) cos(t)
sin(t) cos(t)
=
sin²(t) + cos² (t) +
sin(t) cos(t)
1
=
+
sin(t) cos(t)
= 2 + sec(t) csc(t)
sin(t) cos(t)
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