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Asked by Xvirat1 19th January 2019, 11:27 AM
Answered by Expert
Answer:
begin mathsize 12px style 1 space plus space sin to the power of 4 x space equals space cos squared 3 x
1 plus open parentheses sin squared x close parentheses squared space equals space open parentheses cos space 3 x close parentheses squared space
1 plus open parentheses 1 minus cos squared x close parentheses squared space equals space open parentheses 4 space cos cubed x space minus space 3 space cos space x close parentheses squared
1 plus 1 plus cos to the power of 4 x minus 2 cos squared x space equals space 16 space cos to the power of 6 x space plus space 9 space cos squared x space minus 24 space cos to the power of 4 x
16 space cos to the power of 6 x space minus space 25 space cos to the power of 4 x space plus space 11 space cos squared x space minus space 2 space equals space 0 space........... left parenthesis 1 right parenthesis
l e t space space cos x space equals space alpha comma space
W e space r e w r i t e space e q n. left parenthesis 1 right parenthesis space a s space colon space space 16 alpha to the power of 6 space minus space 25 alpha to the power of 4 space plus space 11 alpha squared space minus space 2 space equals space 0 space space space........ left parenthesis 2 right parenthesis

E q n. left parenthesis 2 right parenthesis space h a s space s o l u t i o n space alpha space equals space plus-or-minus 1

w h e n space alpha space equals space cos x space equals space 1 space comma space x space equals space 2 pi
w h e n space alpha space equals space cos x space equals space minus 1 space comma space x space equals space pi

t h e n space t h e space g r e a t e s t space p o s i t i v e space s o l u t i o n space i s space x space equals space 2 pi
end style
Answered by Expert 20th January 2019, 10:56 AM
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