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Answer:
True
Step-by-step explanation:
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The trigonometric function gives the ratio of different sides of a right-angle triangle. The given trigonometric equation is true.
What are Trigonometric functions?
The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
As per the trigonometric identity,
sin(A)cos(B) = (1/2)[sin (A+B) + sin (A-B)],
Therefore, the given equation sin(x)cos(y) = 1/2(sin(x + y) + sin(x - y)) is true.
Learn more about Trigonometric functions:
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