Find the solution set of the equation 5. ( 1 25 </mfrac> ) <mr

mistergoneo7 2022-07-03 Answered
Find the solution set of the equation 5. ( 1 25 ) sin 2 x + 4.5 cos 2 x = 25 sin 2 x 2 where x [ 0 , 2 π ]
My approach :
5. ( 1 25 ) sin 2 x + 4.5 1 2 sin 2 x = 25 sin 2 x 2
Unable to understand how to use sin 2 x in R.H.S. to solve further , can you please guide further thanks
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Answers (2)

Johnathan Morse
Answered 2022-07-04 Author has 18 answers
5 ( 1 25 ) s i n 2 x + 4 ( 5 ) c o s 2 x = ( 25 ) s i n 2 x 2 5 2 sin 2 x + 1 + 4 5 1 2 sin 2 x = 5 s i n 2 x 5 5 1 2 sin 2 x = 5 s i n 2 x 5 2 2 sin 2 x = 5 s i n 2 x 2 2 sin 2 x = sin 2 x 1 sin 2 x = sin x cos x cos 2 x = sin x cos x cos x ( cos x sin x ) = 0 cos x = 0 , cos x sin x = 0

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Patatiniuh
Answered 2022-07-05 Author has 5 answers
Hint:
Observe
5 1 2 sin 2 x + 4 5 1 2 sin 2 x = 5 2 sin x cos x 5 5 1 2 sin 2 x = 5 2 sin x cos x

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