If sin t = * and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and 8° tan (2 t) algebraically without solving for t.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 10E
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If sin t
=, and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and
tan (2 t) algebraically without solving for t.
Enclose numerators and denominators in parentheses. For example, (a – b)/ (1+ n).
-
ab
sin (a)
00
sin (2 t) =
ab
sin (a)
00
cos (2 t) =
ab
sin (a)
00
tan (2 t) =
Show your work and explain, in your own words, how you arrived at your answer for sin (2 t ).
Transcribed Image Text:If sin t =, and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and tan (2 t) algebraically without solving for t. Enclose numerators and denominators in parentheses. For example, (a – b)/ (1+ n). - ab sin (a) 00 sin (2 t) = ab sin (a) 00 cos (2 t) = ab sin (a) 00 tan (2 t) = Show your work and explain, in your own words, how you arrived at your answer for sin (2 t ).
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