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Grade: 11
        
Sin5xcos3x..plxz help me to get out of this question...answer fast....
4 months ago

Answers : (2)

Saurabh Koranglekar
askIITians Faculty
3157 Points
							Dear student

Sin ( a+b)+ sin ( a-b)

= 2 sin a cos b

On simplification of the question

Sin 2x = sin 4 x

2sin x cos x = 2 sin x. Cos x. Cos 2x

Cos 2x = 1

Now you can solve further

Regards
4 months ago
Arun
22800 Points
							
Dear student 
 
multiply by 2 in LHS and RHS
 
then it becomes after using the formula of 2 sinAcosB
 
sin 8x + sin 2x = sin 8x + sin 4x
 
hence sin 2x = sin 4x
 
sin2x (1 – 2 cos2x) = 0
 
hence sin2x = 0 or cos2x = ½
 
2x = n* pi      or    2x = 2 n* pi ± pi/3
 
x = n * pi/2     or    x = n * pi ± pi/6
4 months ago
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