4.3 Unit circle notes Vocab you must know 1st: initial side, vertex
... 3. Use Pythagorean theorem to find the 3rd side of the triangle 4. Use trig ratios to find the ones that are being asked for. Don’t forget “-“ if the triangle is in quadrant 2 or 4 Ex: 8. Find cos θ and cot θ if sin θ = and tan θ < 0 (think where would y/x be negative) 9. find csc θ and cot θ if tan ...
... 3. Use Pythagorean theorem to find the 3rd side of the triangle 4. Use trig ratios to find the ones that are being asked for. Don’t forget “-“ if the triangle is in quadrant 2 or 4 Ex: 8. Find cos θ and cot θ if sin θ = and tan θ < 0 (think where would y/x be negative) 9. find csc θ and cot θ if tan ...
2008 Individual 5th Test
... 2008 Rocket City Junior Math Mania Individual Test – 5th Grade 1. What is the sum of 1.23 and 45.6, expressed as a decimal? 2. If the sum of two numbers is 247 and one is 111 less than the other, what is the value of the smaller number? 3. What is the largest prime number less than 100? 4. An isosce ...
... 2008 Rocket City Junior Math Mania Individual Test – 5th Grade 1. What is the sum of 1.23 and 45.6, expressed as a decimal? 2. If the sum of two numbers is 247 and one is 111 less than the other, what is the value of the smaller number? 3. What is the largest prime number less than 100? 4. An isosce ...
The Pythagorean Theorem and Beyond: A Classification of Shapes
... The Pythagorean Theorem and Beyond: A Classification of Shapes of Triangles Guanshen Ren ([email protected]), College of St. Scholastica, Duluth, MN 55811 The Pythagorean theorem is well known to almost all college students. Some geometry textbooks show that if a 2 + b2 = c2 , then the triangle could b ...
... The Pythagorean Theorem and Beyond: A Classification of Shapes of Triangles Guanshen Ren ([email protected]), College of St. Scholastica, Duluth, MN 55811 The Pythagorean theorem is well known to almost all college students. Some geometry textbooks show that if a 2 + b2 = c2 , then the triangle could b ...
MathCircle The Golden Ratio 1 Problem 1
... From now on we will denote the above ratio as ϕ. It is called the golden ratio. ...
... From now on we will denote the above ratio as ϕ. It is called the golden ratio. ...
Mathematics and architecture
Mathematics and architecture are related, since, as with other arts, architects use mathematics to shape and sometimes to decorate buildings.In ancient Greece, buildings were laid out with specific proportions. In Islamic architecture, geometric shapes and geometric tiling patterns are used. The pyramids of ancient Egypt have mathematical proportions. Hindu temples have a fractal-like structure where parts resemble the whole.In Renaissance architecture, symmetry and proportion were deliberately emphasized.In the twentieth century, styles such as modern architecture and Deconstructivism explored different geometries to achieve desired effects.