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Sagot :
The function y = 2sin has a phase shift of pi/2 to the right (2x - pi).
What is a trigonometric function?
- An angle or angle function (such as the sine, cosine, tangent, cotangent, secant, or cosecant) is most simply defined in terms of the ratios of pairs of sides of a right-angled triangle.
- The inverse of a trigonometric function (such as arcsine, arccosine, or arctangent).
To find the function which has a phase shift to the right:
The function has a phase shift of pi/2 to the right.
By definition, you have the phase shift is:
- asin(bx+c)
- Phase shift = -c/b
When you substitute the values from the function [tex]y=2sin(2x-\pi )[/tex], where [tex]c=-\pi[/tex] and [tex]b=2[/tex], you obtain:
- Phase shift = [tex]-(-\pi )/2[/tex]
- Phase shift = [tex]\pi /2[/tex]
Therefore, the function y = 2sin has a phase shift of pi/2 to the right (2x-pi).
Know more about trigonometric functions here:
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The complete question is given below:
Which function has a phase shift of pi/2 to the right?
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