Verify the identity algebraically. Use a graphing utility to check your result graphically. (Simplify at each step.) 7 cot³(t) = 7 cos(t) (csc²(t) — 1) csc(t) )cot²(t) 7 cot³ (t) csc(t) 11 II (T sin(t) X csc(t) )(csc²(t) - 1) csc(t) (csc²(t) - 1) 1 sin(t) = 7 cos(t)(csc²(t) - 1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 68E
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Verify the identity algebraically. Use a graphing utility to check your result graphically. (Simplify at each step.)
7 cot³(t) = 7 cos(t)(csc²(t) — 1)
csc(t)
)cot²(t)
7 cot³(t)
csc(t)
=
=
sin(t)
X
csc(t)
)(csc²(t) - 1)
csc(t)
(csc²(t) - 1)
sin(t)
= 7 cos(t)(csc²(t) - 1)
Transcribed Image Text:Verify the identity algebraically. Use a graphing utility to check your result graphically. (Simplify at each step.) 7 cot³(t) = 7 cos(t)(csc²(t) — 1) csc(t) )cot²(t) 7 cot³(t) csc(t) = = sin(t) X csc(t) )(csc²(t) - 1) csc(t) (csc²(t) - 1) sin(t) = 7 cos(t)(csc²(t) - 1)
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