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Why do sine and cosine always have values less than 1?
Sine and cosine functions represent the ratios of the lengths of sides of a right triangle relative to the hypotenuse. Since these ratios involve the lengths of the triangle's legs (which are always shorter than or equal to the hypotenuse), the values of sine and cosine cannot exceed 1. Additionally, on the unit circle, the coordinates of any point (x, y) are constrained within the range of -1 to 1, which further reinforces that the maximum and minimum values of sine and cosine are also limited to this range.
How is a tangent different from a chord?
A Tangent is a straight line, outside the circle, that just touches the circle circumference in one place. A Chord is a straight line , inside the circle, but not passing throught the centre. and touches the circle circumference in two place.
Do triangle buttons work the same way as circle buttons?
Triangle buttons and circle buttons can serve similar functions in user interfaces, but their effectiveness often depends on design context and user familiarity. While both shapes can trigger actions, triangle buttons may suggest directional movement or specific functions, whereas circle buttons typically indicate selection or activation. Ultimately, user experience can vary based on visual cues and the conventions established within a particular application or platform.
Do I need to learn algebra before trigonometry?
YES! If you can't do algebra, you won't last ten seconds in trigonometry. It basically is algebra, just using equations within equations.
How much rain fell in Cyclone Tracy in Darwin?
When Cyclone Tracy hit Darwin on Christmas Day 1974, 255mm of rain was dumped on the city within a twelve hour period.
What do you call a quadrant within a circle?
A quarter of a circle or a quadrant!
Which circles lie completely within the fourth quadrant?
Circles that lie completely within the fourth quadrant of the Cartesian plane have their centers in the fourth quadrant and have a radius smaller than the distance from the center to the x-axis and y-axis. In other words, the circle's center coordinates (x, y) must both be positive, and the radius r must be less than both x and y. This ensures that the entire circle falls within the boundaries of the fourth quadrant.
What do you call a circle within a circle?
Concentric Circles?
What is a circle within a circle within a circle called?
A target
The oval is around or within the circle?
Within the circle
What is a nested circle diagram?
a circle within a circle within a circle decrealsing in size every time
What if there is no x or y-intercept?
Then it could be a straight line segment within a quadrant
What is cos 495 degree's?
cos(495) = cos(495-360) = cos(135) = -cos(180-135) = -cos(45) = -sqrt(1/2) or -1/sqrt(2)
What kind of angle is 74 degrees?
It is an acute angle
How do you write a quadrant?
To write a quadrant, start by drawing a Cartesian coordinate system with a horizontal x-axis and a vertical y-axis, creating four sections. Label each section as Quadrant I (top right), Quadrant II (top left), Quadrant III (bottom left), and Quadrant IV (bottom right). Each quadrant represents different combinations of positive and negative values for x and y. Finally, you can plot points or functions within these quadrants based on their coordinates.
What is angle in a quadrant?
An angle in a quadrant refers to an angle formed by a ray that originates from the origin of a coordinate plane and lies within one of the four quadrants. Each quadrant is defined by the x-axis and y-axis, and angles in a quadrant are measured in a counterclockwise direction from the positive x-axis. The measure of an angle in a quadrant typically ranges from 0 degrees to 90 degrees.
How was the term cosine created?
It is the complement to the sine, and the opposite relationship within a triangle in regards to the Pythagorean Theorem.
