# Algebra 2 and Trigonometry Exam - June 2010

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High School Math based on the topics required for the Regents Exam conducted by NYSED. The following are the worked solutions for the Algebra 2 and Trigonometry Regents High School Examination June 2010.

### June 2010 Algebra 2 and Trigonometry Regents Exam

Algebra 2 and Trigonometry - June 2010 Regents - Q #31

Graphing Exponential Functions

The graph of the equation y = (1/2)

^{x} has an asymptote. On the grid below, sketch the graph of (1/2)

^{x} and write the equation of this asymptote.

Algebra 2 and Trigonometry - June 2010 Regents - Q #32

Simplifying Radicals

Express 5sqrt(3x

^{3}) − 2sqrt(27x

^{3}) in simplest radical form.

Algebra 2 and Trigonometry - June 2010 Regents - Q #33

Sketching and Solving with the Unit Circle

On the unit circle shown in the diagram below, sketch an angle, in standard position, whose degree measure is 240 and find the exact value of sin 240°

Algebra 2 and Trigonometry - June 2010 Regents - Q #34

Area of a Parallelogram using Trig

Two sides of a parallelogram are 24 feet and 30 feet. The measure of the angle between these sides is 57°. Find the area of the parallelogram, to the nearest square foot.

Algebra 2 and Trigonometry - June 2010 Regents - Q #35

Simplifying Complex Fractions

Express in simplest form: (1/2 − 4/d) / (1/d + 3/(2d))

Algebra 2 and Trigonometry - June 2010 Regents - Q #36

Binomial Equation

The members of a men’s club have a choice of wearing black or red vests to their club meetings. A study done over a period of many years determined that the percentage of black vests worn is 60%. If there are 10 men at a club meeting on a given night, what is the probability, to the nearest thousandth, that at least 8 of the vests worn will be black?

Algebra 2 and Trigonometry - June 2010 Regents - Q #37

Double Angles

Find all values of θ in the interval 0° ≤ θ < 360° that satisfy the equation sin 2θ = sin θ.

Algebra 2 and Trigonometry - June 2010 Regents - Q #38

Permutations

The letters of any word can be rearranged. Carol believes that the number of different 9-letter arrangements of the word “TENNESSEE” is greater than the number of different 7-letter arrangements of the word “VERMONT.” Is she correct? Justify your answer.

Algebra 2 and Trigonometry - June 2010 Regents - Q #39

Law of Cosines and Law of Sines

In a triangle, two sides that measure 6 cm and 10 cm form an angle that measures 80°. Find, to the nearest degree, the measure of the smallest angle in the triangle.

More Questions, Worked Solutions and Revision Resources for the Math Regents Examination

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