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Triangle

Precalc midterm study guide part 2

Subject: 
Trigonometry
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trigonometry
Triangle geometry
Triangles
Ratios
Trigonometric functions
Triangle
Solution of triangles
Proofs of trigonometric identities

Name:______________________________ Date:_____________________________ Midterm Review (continued) 53. Solve the triangle ABC given a = 9, b= 7, c = 5. 54. Solve the triangle ABC given a = 7, b=6, measure of angle A=26.3?. 55. Find the area of a triangle with sides 13, 15, 18. 56. Sketch a graph of the following trigonometric functions using the standard trig viewing window. f(x) = csc x f(x) = cot x f(x) = tan x f(x) = sec x 57. Evaluate 8 7tan,8 3cos,8 5sin ??? , sin 165?. 58. P(-5,-12) is on the terminal side of an angle in standard position with measure ,? where 0 < ? < 2?.

AHSME 1992

Subject: 
Algebra
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Mathematics
Abstract algebra
Integer sequences
Number theory
Triangles
Triangle geometry
Combinatorics
Number
Prime number
Triangle
Coprime
Integer
sports

USA AIME 1992 1 Find the sum of all positive rational numbers that are less than 10 and that have denominator 30 when written in lowest terms. 2 A positive integer is called ascending if, in its decimal representation, there are at least two digits and each digit is less than any digit to its right. How many ascending positive integers are there? 3 A tennis player computes her win ratio by dividing the number of matches she has won by the total number of matches she has played. At the start of a weekend, her win ratio is exactly .500. During the weekend, she plays four matches, winning three and losing one. At the end of the weekend, her win ratio is greater than .503. What?s the largest number of matches she could?ve won before the weekend began?

AHSME 1985

Subject: 
Algebra
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geometry
Euclidean geometry
Triangles
Triangle geometry
polyhedra
Triangle
Tetrahedron
Area
Right triangle
Tournament
American Invitational Mathematics Examination

USA AIME 1985 1 Let x1 = 97, and for n > 1 let xn = nxn?1 . Calculate the product x1x2 ? ? ?x8. 2 When a right triangle is rotated about one leg, the volume of the cone produced is 800pi cm3. When the triangle is rotated about the other leg, the volume of the cone produced is 1920pi cm3. What is the length (in cm) of the hypotenuse of the triangle? 3 Find c if a, b, and c are positive integers which satisfy c = (a+ bi)3 ? 107i, where i2 = ?1. 4 A small square is constructed inside a square of area 1 by dividing each side of the unit square into n equal parts, and then connecting the vertices to the division points closest to the opposite vertices. Find the value of n if the the area of the small square is exactly 1/1985. A B CD 1/n

Draw It

Subject: 
Biology
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geometry
Conic sections
Curves
Circle
pi
Stairway
Triangle

By: Wade Moore 9/4/2013 Draw It! Steps on ?How to Draw it? Part 1 Start in the upper left corner of the drawing area, and then draw a squiggly line straight down (only like 8 small squiggles, a fairly short line). Next you?ll need to draw two separate curved lines horizontally. Each line will start at the ends of the squiggly line previously made. These lines together should create almost an hourglass shape. The bottom of this horizontal ?hourglass? should be the vertical squiggly line and the top (right side) should be left open for now.

Geometry

Subject: 
Geometry
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geometry
Triangles
Triangle geometry
Euclidean plane geometry
Polygons
Quadrilaterals
Triangle
Euclidean geometry
Rectangle
Angle
Area
Circle

GRADUATE RECORD EXAMINATIONS? Math Review Chapter 3: Geometry Copyright ? 2010 by Educational Testing Service. All rights reserved. ETS, the ETS logo, GRADUATE RECORD EXAMINATIONS, and GRE are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. ?

Geometry

Subject: 
Geometry
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Tags: 
geometry
Triangles
Triangle geometry
Euclidean plane geometry
Polygons
Quadrilaterals
Triangle
Euclidean geometry
Rectangle
Angle
Area
Circle

GRADUATE RECORD EXAMINATIONS? Math Review Chapter 3: Geometry Copyright ? 2010 by Educational Testing Service. All rights reserved. ETS, the ETS logo, GRADUATE RECORD EXAMINATIONS, and GRE are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. ?
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