4. (a) Prove the reduction formula: tan?n-1 (2r) _ [ tann-2 (2r) dr 4n- 2 tan" (2.r) dr (b) The reduction formula is a recurrence relation given by 1.= fun tan" (20) da and lo = / tan? (20) da Evaluate Io with integration. (c) Now find Is using recursion from (b). Do not integrate in this step, integration will result in no marks for this part.
4. (a) Prove the reduction formula: tan?n-1 (2r) _ [ tann-2 (2r) dr 4n- 2 tan" (2.r) dr (b) The reduction formula is a recurrence relation given by 1.= fun tan" (20) da and lo = / tan? (20) da Evaluate Io with integration. (c) Now find Is using recursion from (b). Do not integrate in this step, integration will result in no marks for this part.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 79E
Related questions
Question
![4. (a) Prove the reduction formula:
tan?n-1 (2r)
| =
tan?" (2x) dæ
tann-2 (2x) de
4n - 2
(b) The reduction formula is a recurrence relation given by
In = / tan" (2r) dar and lo = / tan20 (20) du
Evaluate Io with integration.
(c) Now find I using recursion from (b). Do not integrate in this step,
integration will result in no marks for this part.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e138027-a702-4592-a88d-4d0c098d95b7%2F673ebf76-3034-4ef9-9061-ca21d5b16e70%2Ftutdbrr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. (a) Prove the reduction formula:
tan?n-1 (2r)
| =
tan?" (2x) dæ
tann-2 (2x) de
4n - 2
(b) The reduction formula is a recurrence relation given by
In = / tan" (2r) dar and lo = / tan20 (20) du
Evaluate Io with integration.
(c) Now find I using recursion from (b). Do not integrate in this step,
integration will result in no marks for this part.
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