Why is Sin 90 Degrees Equal to 1? Explanation Using the Unit Circle
Learn why sin 90 degrees equals 1 based on the unit circle definition and trigonometry fundamentals.
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Sin 90 degrees equals 1 because of the unit circle in trigonometry. When the angle is 90 degrees, the point on the unit circle is (0, 1). Sine is defined as the y-coordinate of this point. Hence, sin 90° = 1.
FAQs & Answers
- What is the unit circle in trigonometry? The unit circle is a circle with a radius of 1 centered at the origin of the coordinate plane, used to define sine, cosine, and tangent values for all angles.
- Why does sin 90 degrees equal 1? Sin 90 degrees equals 1 because, on the unit circle, the point corresponding to 90 degrees is (0, 1), and sine is the y-coordinate of that point.
- How is sine defined using the unit circle? Sine of an angle is defined as the y-coordinate of the point on the unit circle that corresponds to that angle.