All Things Mathematics is a website dedicated to learn math in a fun, easy and creative way

We all know that the all trigonometric functions are periodic functions i.e. the values of the functions repeat at regular intervals. Period: The range of values of x for which the function repeats itself. Amplitude: The range of the values of the functions divided by 2 i.e. (Max – Min)/2 Sine Function Below is a […]

Posted in: *Period and Amplitude, Transformations, Trignometry*

*July 27, 2014*

Prove the following Trigonometric Identities using “Product to Sum or Sum to Product Formulas” Things to Remember: Click for solution to Product to Sum – Problem 1 Click for solution to Product to Sum – Problem 2 and 3 Click for solution to Product to Sum – Problem 4

Posted in: *Product to Sum, Trignometry, Trigonometric Identitiies*

*July 22, 2014*

Problem 1: What is the value of sin 150 and cos 150? Problem 2: What is the value of sin 1050 and cos 1050? Problem 3: Simplify the expression sin (π/4 – x) – cos (π/4 – x) Problem 4: If sin x = -1/4 and x lies in the 4th quadrant, what is the […]

*July 12, 2014*

Find the values of the other five trigonometric functions given that: 1. Cos x = -1/2 and x lies in the third quadrant 2. Sin x = 3/5 and x lies in the second quadrant 3. Cot x = 3/4 and x lies in the third quadrant Things to Remember: Standards Angles […]

*July 8, 2014*

Find the value of the following Sin (-6750) and cos (-6750) Tan (10π/3) Sin (-38π/3) Cosec(-14100) and Sec(-14100) Things to Remember: Standards Angles and Values of Sine and Cosine in a Unit Circle: The unit circle above provides the values of the sine and cosine for the standard angles. The coordinates of the points on […]

Posted in: *Angle Relationships, Trignometry, Trigonometric Identitiies*

*July 1, 2014*

Convert the following angles from “degrees to radians” 1200 4500 3900 Convert the following angles from “radians to degrees” π/6 7π/4 5π/6 Things to Remember: Definition of Angle Measure in Radians: In the circle above, the angle subtended by an arc AB (whose length is equal to radius of the circle) at the center of […]

Posted in: *Angle Measures, Radians, Trignometry*

*June 19, 2014*

Prove the following by Mathematical Induction: 1. Prove that 1 + 2 + 3 + ———– + n = {n(n+1)}/2 2. Prove that 12+ 22+ 32+ ———— + n2 = {n(n+1)(2n+1)}/6 for all values of n >=1 2. Prove that 7n – 3n is divisible by 4 for n>= 1 4. Prove that n(n+1)(n+5) is […]

Posted in: *Algebra 2, Mathematical Induction, Sequence of Numbers*

July 31, 20140