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Prove each of the following trigonometric identities. 1. sin xsin 2x+cos x cos2x = cos x 2. cotx=sin xsin 3. 5. 6. T 4. sec² x-2 secx cos x + cos²x = sin² x tan² x --x+cos x cotx 2 2 csc 2x = sec xcscx 1+cotxtany= sin(x + y) sin x cos y tan (+ x)+ tan(-x)- 2500 2x = = sec

Prove each of the following trigonometric identities. 1. sin xsin 2x+cos x cos2x = cos x 2. cotx=sin xsin 3. 5. 6. T 4. sec² x-2 secx cos x + cos²x = sin² x tan² x --x+cos x cotx 2 2 csc 2x = sec xcscx 1+cotxtany= sin(x + y) sin x cos y tan (+ x)+ tan(-x)- 2500 2x = = sec

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve 2. 4. and 6.
earch Prove each of the following trigonometric identities. 1. sinxsin 2x+cos x cos2x = cos x 2. cotx=sinxsin in(-x)+ 2 3. 2 csc 2x = secx csc X 4. sec² x-2sec x cos x + cos²x = sin² x tan² x 5. 1+cot x tan y = 6. x + cos²xcotx +375 O sin(x + y) sin x cos y tan (4+x) + tan (4-x) - 2 900 2x = sec ▸ O a A
Transcribed Image Text:earch Prove each of the following trigonometric identities. 1. sinxsin 2x+cos x cos2x = cos x 2. cotx=sinxsin in(-x)+ 2 3. 2 csc 2x = secx csc X 4. sec² x-2sec x cos x + cos²x = sin² x tan² x 5. 1+cot x tan y = 6. x + cos²xcotx +375 O sin(x + y) sin x cos y tan (4+x) + tan (4-x) - 2 900 2x = sec ▸ O a A
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