SSA (Side, Side, Angle) is when we know 2 sides and 1 angle that is not the angle between the sides. How to solve an SSA triangle ? First, use Law of Sines to calculate one of the other two angles. Then, use the three angles add to 180° to find the other angle. Finally
Definition of Logarithmic Functions Logarithmic and exponential function has close relation. It is because logarithmic inverse of exponential function. Any exponential function can be changed to be logarithmic function and any logarithmic function can be changed to be exponential function. For example there is exponential function x = ay, so the logarithmic function is alog
Definitions Exponents are also called Powers or Indices The exponent of a number says how many times to use the number in a multiplication. General form of exponent an tells you to use a in a multiplication n times Those are positive exponents How About Negative Exponents? Dividing is the inverse (opposite) of Multiplying. A negative exponent
To cross multiply is to go from this: To a × d = b × c How Does it Work? Multiplying the top (numerator) and bottom (denominator) of a fraction by the same amount doesn’t change its value. So, To cross multiply: Multiply the top and bottom of the left side fraction by the bottom
Logarithm is one of basic mathematics concept. Logarithm counts repeated same number in multiplication form. Operating logarithm means determine how many repeated numbers (b) to get the result (x). Logarithm is used to many sectors in life. Some of them are calculate the magnitude of earthquake using Richer Scale, loudness of sound in decibels (dB),
Multiply the tops, then multiply the bottoms. How to multiply fractions There are 3 simple steps to multiply fractions Multiply the the numerators (top numbers). Multiply the denominators (bottom numbers). Simplify the fraction if needed. Example Step 1 Multiply the the numerators Step 2 Multiply the denominators Step 3 Simplify the fraction Mulltiplying Fractions and Whole Numbers
Taylor series is one of topic in numerical method. It describes the sum of infinite terms of any functions. If there are more and more terms, it will give the high accuracy. It was introduced by English mathematicians, Brook Taylor. One of Taylor series application is scientific calculator operation. Sometimes when we need to determine
SAS (Side, Angle, Side) is when we know 2 sides and the angle between them. How to solve an SAS triangle ? use the Law of Cosines to calculate the unknown side, use the Law of Sines to find the smaller of the other two angles, use the three angles add to 180° to find
Example Solve x + y + z = 6 2y + 5z = −4 2x + 5y − z = 27 Change into matrix form AX = B where A is the 3×3 matrix of x, y, z coefficients X is x, y, z B is 27, 6, −4 Then find the value of x, y, z X =
Mathematical induction describe as a domino cards or climbing a ladder. In domino cards, if the first card falls, then the second falls too and so does the third, fourth and finally all of cards fall. Climbing a ladder is like domino cards. If the first step is passed, then going to second step, third