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Verify the identity algebraically. Use a graphing utility to check your result graphically. 6 sin(x) - 6 cos(x) sin(x) + 6 cot(x) = 6 csc²(x) 6 csc(x) (csc(x) = sin(x)) +

Verify the identity algebraically. Use a graphing utility to check your result graphically. 6 sin(x) - 6 cos(x) sin(x) + 6 cot(x) = 6 csc²(x) 6 csc(x) (csc(x) = sin(x)) +

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 32E
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Verify the identity algebraically. Use a graphing utility to check your result graphically. 6 sin(x) ) − 6 cos(x) + 6 cot(x) = 6 csc²(x) sin(x) Expand the expression, and then use the Reciprocal Identities to simplify. (Simplify your answers completely.) - 6 csc(x) sin(x)) 6 csc(x) (csc(x) − sin(x)) + (6 csc(x)) (csc(x) = sin(x)) + 6 sin(x) – 6 cos(x) + 6 cot(x) sin(x) = C + (₁- 6 sin(x) (6 csc²(x) - 6) + (6 - ( = + 6 cot(x) 1])) + 6 cot(x)
Transcribed Image Text:Verify the identity algebraically. Use a graphing utility to check your result graphically. 6 sin(x) ) − 6 cos(x) + 6 cot(x) = 6 csc²(x) sin(x) Expand the expression, and then use the Reciprocal Identities to simplify. (Simplify your answers completely.) - 6 csc(x) sin(x)) 6 csc(x) (csc(x) − sin(x)) + (6 csc(x)) (csc(x) = sin(x)) + 6 sin(x) – 6 cos(x) + 6 cot(x) sin(x) = C + (₁- 6 sin(x) (6 csc²(x) - 6) + (6 - ( = + 6 cot(x) 1])) + 6 cot(x)
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