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TRIG Mind MAP Pro
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TRIG Mind Map
History of two Mind-Maps
History of Mind-map
The history of mini mapping, is a small map that travelers would use to explore the large world we live in. It is also made in video games by traveling different places, only to find new areas and new treasures. There is also another way to map things like an map diagram of one main subject that is connected from small ones. The idea is that it is to follow one subject and have info of people, places, and ideas that is part of the subject.
Unit Circle
It is a circle that follows the numbers of radius of one, with four different numbers to go in a complete circle.
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Circular Trig Functions
It is the different sides of the unit circle that is numbered that are functions of an angle.
Circular Trig Functions
Trig Identities
It is the different sets of math of the trigonometric identities from simple math to complicated math that to get the answer that is need of the set up.
Trig Identities
Trigonometric Functions
Trigonometric Functions
The different sets of trigs from sin to cos are measured of their unique lines on graphs. They will also have their own set of math problem that be fill in with their measurement to get the total answer of the problem.
Graph of Sin
The graph of sin, is one of the trigonometric, it is a wave that is measured from one negative that will go up and down, never touching the function numbers while staying on 1 or -1 on the y-axis. f(x)=sin x.
Graph of Sin/Cos
Graph of Cos
Just like graph of sin, it measured up and down, the difference is that it measure the functions of the line while staying on 1 and -1 on the y-axis. f(x)=cos x.
Graph of Cos
Graph of Tan
Graph of tan, is where the lines are in a vertical angle on the x-axis and where they are measured on the y-axis from positive to negative numbers. The numbers they end up on are the whole numbers of the x-axis where the line goes down on the positive or negative on the top part od the graph, then slightly goes sideways than goes back to a straight line on the bottom of the graph. f(x)= tan x.
Graph of tan/cot
Graph of Cot
Similar to Tan, it starts at the top to bottom, going straight down, slightly tilt itself than goes back with a straight line that also touches the dash lines on the numbers that aren't the numbers that Cot wants. The difference to Tan, is that it is mirror to Tan lines and that it touches only the franction numbers of the x-axis. f(x)=cot x= 1/tan x.
Graph of Cot
Graph of Sec
The graph of Sec, is where the lines are curved in a "U" shaped placed on the y-axis up or down on the positive and negative numbers of 1 or -1 line up. Having one U shaped down and one on top while staying on the whole numbers and between the fraction numbers that have dash lines. f(x)=sec x= 1/cos x.
Graph of sec/csc
Graph of Csc
Similar to Sec graph, it has a U shaped going up or down on the positive or negative of x-axis or y-axis while staying place on the 1 or -1 on the y-axis. The differnce, is that the lines are place in the fraction numbers and the dash lines are in the whole numbers on the x-axis. f(x)=csc x= 1/sin x.
Graph of Csc
Radian/Degree Conversion
Radian and Degree are part of the unit circle that are to change from positive to negative and having radians to be the outer numbers of the circle and degrees to be inner part of the circle.
Radian/Degree conversion
Converting Radians to degrees, is by having the number on top to multiply pie which is 180 divided by the number in the bottom to have the number in degrees.
Converting Degrees to radians, is having to either decrese the number by half or removing the last number of the end with a pie symbol next to it divided it by one hundred eighty and remove the zero to eighteen as the full answer.
Examples of Radian/Degree
Y=d + asin(bx-c)
This formula is use for the Trigonometric Functions that is sin to cos with the added numbers to give an answer or to make a graph with different lines, but still has the same functions from either of the Trigonometrics when adding them in the formula.
Y=d+asin(bx-c)
Law of Cosines
It is a triangle with sides, a, b, c, and opposite angles of A B and C.
Law of Cosines
Product/Sum Formulas:
What the formulas are, is that they are somewhat identical, but going a different way to have the answers. Having to use the Sin and Cos to make their formula and also using "u" and "v" the most. The way to form the formulas work is either Sin or Cos for both formulas and either add, subtract, divide, or multiply that is given in the formulas of both and sin or cos with 2 or 1/2 which then gives the answer of either formulas.
Produce/Sum Formulas
Sum to Product Forumla
The way to form the formula, is the given the numbers to place on the formula and then adding the numbers an divided by 2 which gives half of the given number and then either 2sin or 2cos that the formula that is shown and the last part is to sin and cos with the final numbers and add them together to give the answer.
Sum to Product
Product to Sum Formula
The way that is formula works is somewhat identical to Sum to Product, but the way it is use is to combine both Sin or cos with u or v in different formulas of Product to Sum. Instead of dividing, the formula wants to use subtraction and adding of the structure of the formula and instead of 2 the formula uses 1/2 when both inner numbers are combine which gives the final number.
Product to Sum
Sum and Difference Formula
The way that the formula is use is having either sin, cos, and tan with the key letters of U or V for the formula. They are use in different formulas depending on what words are use and it is either adding or subtracting on the first two, but the tan use division and to that point the given answer is given.
Other Formulas
Double Angle Formula
The way to use this formula, is either using sin, cos, or tan with their version of the formula, with sin multplying, cos having to subtract and using sin or cos to create an answer, and tan by using division having the top using tan and the bottom subtracting. In the end, they are given an answer and then use the words by using 2 to give the final answer.
Double-Angle
Power-Reducing Formula
The given words are sin, cos, or tan with square, having each of their own formula structure. Although they are similar, having division, but they either add or subtract on the top part of the fraction with having cos 2u, and the bottom having to be only 2 or the same like the top but only on tan. By having the answer, you are to use the words with sqaure and to get the final answer of the formula.
Power-Reducing
Work Sited Page
Work Sited
www.sosmath.com/trig/prodform/prodform.html
https://www.analyzemath.com/Trigonometry_2/sum_difference_product_trigonometric_formulas_questions.html