What is the exact value of cos 30 degrees?
What is the exact value of cos 30 degrees?
0.8660
What is the value of cos 0º?
1
What is the exact value of cos 45?
0.7071
What is the 30-60-90 Triangle rule?
A triangle is a special right triangle (a right triangle being any triangle that contains a 90 degree angle) that always has degree angles of 30 degrees, 60 degrees, and 90 degrees. Because it is a special triangle, it also has side length values which are always in a consistent relationship with one another.
Are all isosceles triangles 30-60-90?
This is an isosceles right triangle. The other triangle is named a 30-60-90 triangle, where the angles in the triangle are 30 degrees, 60 degrees, and 90 degrees….45-45-90 and 30-60-90 Triangles.
| Hypotenuse Length | Leg Length |
|---|---|
| 1.4142 | 1 |
What is the formula for a 45 45 90 Triangle?
A 45°-45°-90° triangle is a special right triangle that has two 45-degree angles and one 90-degree angle. The side lengths of this triangle are in the ratio of; Side 1: Side 2: Hypotenuse = n: n: n√2 = 1:1: √2. The 45°-45°-90° right triangle is half of a square.
What type of triangle is 60 60 60?
This is a triangle (that is, an equilateral triangle), with sides having a length of two units.
What are the side lengths of a 30-60-90?
A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º. The triangle is special because its side lengths are always in the ratio of 1: √3:2. Any triangle of the form 30-60-90 can be solved without applying long-step methods such as the Pythagorean Theorem and trigonometric functions.
Why is every triangle 180 degrees?
A triangle’s angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the third angle to make a 180 angle.
How the sum of triangle is 180?
In a Euclidean space, the sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at each vertex, bounded by a pair of adjacent sides.
Is a square 180 degrees?
All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 360 degrees (from above)… And there are four angles… So, the measure of the interior angle of a square is 90 degrees.
What is the formula for rotating 180 degrees counterclockwise?
180 Degree Rotation When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y).
Is a square 180 or 360?
The General Rule
| Shape | Sides | Sum of Interior Angles |
|---|---|---|
| Triangle | 3 | 180° |
| Quadrilateral | 4 | 360° |
| Pentagon | 5 | 540° |
| Hexagon | 6 | 720° |
What is a rotation of 180 degrees?
Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M’ (-h, -k). …
Is a 180 degree rotation a reflection?
Some polygons have rotational symmetry, some have reflectional symmetry. If you rotate a rectangle by 180 degrees, or reflect it in a suitable axis, you get back the same shape. But generally, no. If you rotate a shape by 180 degrees, you get an upside down shape, not a reflected shape.
What are the rules for clockwise rotations?
Terms in this set (9)
- (-y, x) 90 degree rotation counterclockwise around the origin.
- (y, -x) 90 degree rotation clockwise about the origin.
- (-x, -y) 180 degree rotation clockwise and counterclockwise about the origin.
- (-y, x) 270 degree rotation clockwise about the origin.
- (y, -x)
- (x, -y)
- (-x, y)
- (y, x)
What is a 90 degree clockwise rotation?
Rule : When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.
Is a 90-degree rotation clockwise or counterclockwise?
Since the rotation is 90 degrees, you will rotating the point in a clockwise direction.