For how many values of x in

Efrain Watkins

Efrain Watkins

Answered question

2022-04-07

For how many values of x in 0x<2π does sin(5x)sin(x)cos(5x)cos(x)=2
Using the sine and cosine addition rules, I tried to express sin(5x) and cos(5x) in terms of sin(x) and cos(x). However, it took me quite a while, and I was wondering if there was a quicker way

Answer & Explanation

Mdladlaqe2t

Mdladlaqe2t

Beginner2022-04-08Added 7 answers

Hint.
The equation is equivalent to
sin5xcosxcos5xsinxsinx cosx=2
which is same as
sin4xsin2x=1
which in turn is same as
2cos2x=1

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