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Subjects>Math>Algebra

What is the domain of y equals sin x?

Anonymous

∙ 14y ago

Updated: 4/28/2022

All real numbers. Or all complex numbers, if you are working with complex numbers.

Wiki User

∙ 14y ago

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Continue Learning about Algebra

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The Domain and Range are both the set of real numbers.

When are y equals sin x and y equals cos x times cos x equal?

y=sin x y=cos x cos x sin x = cos^2 x sin x = 1-sin^2 x sin x -1 + sin^2 x = 0 sin^2 x + sin x -1 = 0 Let y=sin x y^2+y-1 = 0 This equation is of form ay^2+by+c=0 a = 1 b = 1 c = -1 y=[-b+/-sqrt(b^2-4ac)]/2a] y=[-1 +/-sqrt(1^2-4(1)(-1)]/(2)(1) discriminant is b^2-4ac =5 y=[-1 +√(5)] / 2 y=[-1 -√(5)] / 2 sin x = [-1 +√(5)] / 2 x = sin^-1 [-1 +√(5)] / 2] = 0.6662394 radians x = sin^-1 [-1 -√(5)] / 2] = sin^-1 (-1.618) -- has no solution When x = 0.6662394 radians, sin x and cos x times cos x are equal.

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Related Questions

What is the range of y equals -sin x?

The range of -sin x depends on the domain of x. If the domain of x is unrestricted then the range of y is [-1, 1].

What is the domain of the function y sin x?

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Y equals 4 sin x for x equals pi?

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What is the domain and range of the sine function y is equal to 2 sin x?

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What is the domain of the function y equals x plus 3?

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The domain is the x values, so x = 0 to 10. The range is the y values, so y = 0 to 25.

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