# Monthly Archives: September 2015

## Product of Tangents

What is the value of the following product? Source: NCTM Mathematics Teacher, November 2006 SOLUTION Similarly, The product of tangents equals . Answer: Alternative solution Apply the formula to our product The product of tangents equals . Advertisements

## Absolute Value

How many different real-valued pairs satisfy this system of two equations? Source: NCTM Mathematics Teacher, November 2006 SOLUTION Suppose Substitute the value of into Eq. or We have two pairs and . Suppose Substitute the value of into Eq. or … Continue reading

## Altitude

In triangle , and . If is a point on such that is perpendicular to , what is ? Source: NCTM Mathematics Teacher, November 2006 SOLUTION Area of triangle by Heronâ€™s formula Area of triangle Area of triangle using base … Continue reading

## Parallelogram

is a parallelogram with , and . If the area of the parallelogram is , what is the value of ? Source: NCTM Mathematics Teacher, November 2006 SOLUTION Draw a perpendicular to . If the x-coordinate of equals , its … Continue reading

## Sine and Cosine

Suppose the roots of the quadratic equation are and . What is the value of ? Source: NCTM Mathematics Teacher, November 2006 SOLUTION If and are roots of the quadratic equation, Develop the product Compare the terms of the above … Continue reading

## Square Root Function

How many positive real numbers are solutions to ? Source: NCTM Mathematics Teacher, November 2006 SOLUTION The graphs of the two functions and show two intersection points There are two solutions to . Answer:

## Log Base 2

What is the value of Source: NCTM Mathematics Teacher, November 2006 SOLUTION We change all the different bases to base Answer: