study-guide-unit-4a-4-5-week-assessment
... radii, chords, tangents, and secants. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Can you… 1. Identify the lines, line se ...
... radii, chords, tangents, and secants. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Can you… 1. Identify the lines, line se ...
File
... to definitions of trigonometric ratios for acute angles. MACC.912.G-SRT.3.7: Explain and use the relationship between the sine and cosine of complementary angles. MACC.912.G-SRT.3.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. ...
... to definitions of trigonometric ratios for acute angles. MACC.912.G-SRT.3.7: Explain and use the relationship between the sine and cosine of complementary angles. MACC.912.G-SRT.3.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. ...
Chapter 5 Review – Trig Functions Name: Change each measure to
... Find one positive and one negative angle that are coterminal with each angle. ...
... Find one positive and one negative angle that are coterminal with each angle. ...
Aim:
... the sine of an acute angle has the same value as the cosine of its complement. sin A = cos B and cos A = sin B the tangent of an acute angle has the same value as the cotangent of its complement. tan A = cot B and cot A = tan B The tangent of an acute angle is the reciprocal of the tangent of its co ...
... the sine of an acute angle has the same value as the cosine of its complement. sin A = cos B and cos A = sin B the tangent of an acute angle has the same value as the cotangent of its complement. tan A = cot B and cot A = tan B The tangent of an acute angle is the reciprocal of the tangent of its co ...
A grade B student can - School
... Transform the graphs of y = f(x), such as linear, quadratic, cubic, sine and cosine functions, using the transformations y = f(x) + a, y = f(x + a), y = f (ax) and y = af(x) Solve simultaneous equations graphically, such as y = 2x – 1 and x2 + y 2 = 13 ...
... Transform the graphs of y = f(x), such as linear, quadratic, cubic, sine and cosine functions, using the transformations y = f(x) + a, y = f(x + a), y = f (ax) and y = af(x) Solve simultaneous equations graphically, such as y = 2x – 1 and x2 + y 2 = 13 ...
section 3.5-3.8 - Fulton County Schools
... • Perpendicular Lines Theorem – Two nonvertical lines are perpendicular if and only if the product of their slopes is 1. Any vertical line is perpendicular to any horizontal line ...
... • Perpendicular Lines Theorem – Two nonvertical lines are perpendicular if and only if the product of their slopes is 1. Any vertical line is perpendicular to any horizontal line ...
Trigonometric functions
In mathematics, the trigonometric functions (also called the circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.The most familiar trigonometric functions are the sine, cosine, and tangent. In the context of the standard unit circle (a circle with radius 1 unit), where a triangle is formed by a ray originating at the origin and making some angle with the x-axis, the sine of the angle gives the length of the y-component (the opposite to the angle or the rise) of the triangle, the cosine gives the length of the x-component (the adjacent of the angle or the run), and the tangent function gives the slope (y-component divided by the x-component). More precise definitions are detailed below. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers.Trigonometric functions have a wide range of uses including computing unknown lengths and angles in triangles (often right triangles). In this use, trigonometric functions are used, for instance, in navigation, engineering, and physics. A common use in elementary physics is resolving a vector into Cartesian coordinates. The sine and cosine functions are also commonly used to model periodic function phenomena such as sound and light waves, the position and velocity of harmonic oscillators, sunlight intensity and day length, and average temperature variations through the year.In modern usage, there are six basic trigonometric functions, tabulated here with equations that relate them to one another. Especially with the last four, these relations are often taken as the definitions of those functions, but one can define them equally well geometrically, or by other means, and then derive these relations.