 # Algebra 2 and Trigonometry Examination - June 2010

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More Questions, Worked Solutions and Revision Resources for the Math Regents Examination
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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 #21
Linear Regression
Which value of r represents data with a strong negative linear correlation between two variables? Algebra 2 and Trigonometry - June 2010 Regents - Q #22
Domain, Range, and Graphing Inverse Trig Functions
The function f(x) = tan x is defined in such a way that f−1(x) is a function. What can be the domain of f(x)? Algebra 2 and Trigonometry - June 2010 Regents - Q #23
Cosine, and Degrees Minutes & Seconds
In the diagram below of right triangle KTW, KW = 6, KT = 5, and m∠KTW = 90. What is the measure of ∠K, to the nearest minute? Algebra 2 and Trigonometry - June 2010 Regents - Q #24
Double Angles
The expression cos2θ − cos 2θ is equivalent to

Algebra 2 and Trigonometry - June 2010 Regents - Q #25
Summations
Mrs. Hill asked her students to express the sum 1 + 3 + 5 + 7 + 9 + . . . + 39 using sigma notation. Four different student answers were given. Which student answer is correct? Algebra 2 and Trigonometry - June 2010 Regents - Q #26
Geometric Sequences
What is the formula for the nth term of the sequence 54, 18, 6, . . .? Algebra 2 and Trigonometry - June 2010 Regents - Q #27
Graphing Trig Functions and the Period
What is the period of the function y = 1/2 sin (x/3 − π)? Algebra 2 and Trigonometry - June 2010 Regents - Q #28
Discriminant
Use the discriminant to determine all values of k that would result in the equation x2 − kx + 4 = 0 having equal roots.

Algebra 2 and Trigonometry - June 2010 Regents - Q #29
Standard Deviation
The scores of one class on the Unit 2 mathematics test are shown in the table below. Find the population standard deviation of these scores, to the nearest tenth. Algebra 2 and Trigonometry - June 2010 Regents - Q #30
Find the sum and product of the roots of the equation 5x2+ 11x − 3 = 0.

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