Now calculate the second part of the polar coordinate. What is the distance from the origin to coordinates ( 5, -5 ) to 2 significant digits? 90° 120° 60° 150° 30° 180°. 210° 330° 240° 300° 270° You have several options for calculating the distance. Since the X and Y coordinates are two sides of a triangle and the distance is the hypotenuse, you can use Pythagorean theory: A²+B²=C?. Or in this case, X2+Y²=D². Or, if you prefer using trigonometry, you know the angle from the last problem to be -45. You can use either sine or cosine to calculate the hypotenuse.
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
SEE ATTACHMENT
consider the given points,
and
draw the points on the coordinates axis as follows,
the coordinates of form the right triangle ABC as shown in above figure.
Step by step
Solved in 2 steps with 1 images