Trigonometry – Sum and Difference of Angles

July 22, 2014

0

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 […]

Signs of Trigonometric Function – Problems

July 12, 2014

0

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 […]

Find the Values of Trigonometric Functions

July 8, 2014

0

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 […]

Conversion of Angle Measures

July 1, 2014

0

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 […]

Mathematical Induction

June 19, 2014

0

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 […]

Proof of Log Rules

June 5, 2014

0

Prove that Logb (mn) = Logb m + Logb n ——————— Log Multiplication Rule Prove that Logb (m/n) = Logb m –  Logb n ——————– Log Division Rule Prove that Logb (m)n = n Logb m —————————— Log Exponent Rule Prove that Logb a = (logx a)/ (logx b) ————————- Log Change of Base Rule Click for […]

Simplifying and Expanding Log Expressions Using Log Rules

June 5, 2014

0

Expand the following log expressions using log rules: 1. Log2 5x 2. Log2 (8/x) 3. Log2x3 4. Log2 (8x3/2) 5. Log4(64x/8) 6. Log2 ((x3y)/(x+3)4) Simplify the following log expressions: 1. Log3 4 – Log3 5 2.  3log2 y – 4log2 (x+5) + 2Log2 x 2Log2 x + 3Log2 y +3Log2 z Things to Remember: Logarithm […]

Follow

Get every new post delivered to your Inbox.

Join 195 other followers