Grade 11Trigonometry
The number of distinct solutions of sin 5x * cos 3x = sin 9x * cos 7x in [0,π/2] is
1 Answer
Saurabh Koranglekar
Dear student
2 sin 5x cos 3x = 2 sin 9x cos 7x
Sin 8x + sin 2x = sin 16x + sin 2x
Sin 8x = 2 sin 8x cos 8x
Cos 8x = 1/2
8x = pi/3
x = pi/24
Regards
2 sin 5x cos 3x = 2 sin 9x cos 7x
Sin 8x + sin 2x = sin 16x + sin 2x
Sin 8x = 2 sin 8x cos 8x
Cos 8x = 1/2
8x = pi/3
x = pi/24
Regards
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