By using trigonometric identities we can solve the trigonometric equation Sin (5x-28) = cos (3x - 50) for x.
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
The question is incomplete.
The complete question is:
Solve for X given that sin(5X - 28)° = cos(3X - 50)°.
We have given:
sin(5X - 28)° = cos(3X - 50)°.
[tex]\rm \sin \left(5x-28\right)=\sin \left(\dfrac{\pi }{2}-\left(3x-50\right)\right)[/tex]
[tex]\rm \left5x-28\right= \left\dfrac{\pi }{2}-\left(3x-50\right)\right[/tex]
[tex]\rm x=\dfrac{4\pi n+156+\pi }{16}[/tex] (n = 0, 1, 2, ...)
[tex]\rm x=\dfrac{\pi +4\pi n-44}{4}[/tex]
Thus, by using trigonometric identities we can solve the trigonometric equation Sin (5x-28) = cos (3x - 50) for x.
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