Prove each of the following trigonometric identities. 1. sinxsin 2x+cos x cos2x = cos x T 2. cotx=sinxsin (7/7 - 2 3. 2 csc 2x = sec x csc x 4. sec² x-2 secx cos x + cos²x = sin² x tan² x 5. 1+cotxtan y = 6. tan T sin(x + y) sin x cos y -+x+ tan 4 2 x+cos x cotx T 4 --x=2 sec 2x -x) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Prove each of the following trigonometric identities.
1. sinxsin 2x+cos x cos2x = cos x
2
xsin (-x)+ cos²xcotx
2
3. 2 csc 2x = sec xcsc x
2. cotx=sinxsin
4. sec² x-2secx cos x + cos²x = sin² x tan² x
5. 1+cot x tan y =
6.
EB
tan (4+x) + tan (-x) = 2 sec 2x
4
O
sin(x + y)
sin x cos y
in
#
10
6
AB
T
Transcribed Image Text:earch Prove each of the following trigonometric identities. 1. sinxsin 2x+cos x cos2x = cos x 2 xsin (-x)+ cos²xcotx 2 3. 2 csc 2x = sec xcsc x 2. cotx=sinxsin 4. sec² x-2secx cos x + cos²x = sin² x tan² x 5. 1+cot x tan y = 6. EB tan (4+x) + tan (-x) = 2 sec 2x 4 O sin(x + y) sin x cos y in # 10 6 AB T
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