ACT Math – Trigonometry Quiz

Students: Take our Trigonometry Quiz to identify your weaknesses in trigonometry.
ACT Math tests include between 3 and 6 trigonometry problems. A student feeling challenged in math may decide not to study trigonometry and focus on the other ACT math problems. This may not be good idea. Trigonometry may seem difficult at first but once a student understand how to use the formulas, he/she will find that he/she can answer almost any question. Trigonometry is taught in Algebra I and Trigonometry classes.

How does it work? The Trigonometry quiz consists of 10 questions. Answer as many as you feel comfortable doing so and click on Correct my quiz. You will get a page (that you can print) that will show, for each incorrect answer, your answer, the actual answer and the section to review. There is a lot of websites out there explaining math concepts, and the post “ACT Math – Trigonometry Review” will direct you to online resources for each of the section you should review. You can retake the quiz when you are ready to work on the questions you skipped.

To take another CollegeGuide4Parents’ quiz, check the complete list at the bottom of this post.

Note: Want to the review before finishing the quiz? Go to post ACT Math – Trigonometry Review.

Trigonometry Quiz

For Questions 1 through 4, do not use a calculator. You should know these by heart. To review before answering the questions, check the lesson at: Math is Fun

$Question\ 1.\ Solve\ sin\ 0^{\circ}\ ?$

0
1
$\frac{1}{2}$
$\frac{\sqrt{2}}{2}$
$\frac{\sqrt{3}}{2}$

$Question\ 2.\ Solve\ cos\ 30^{\circ}?$

0
1
$\frac{1}{2}$
$\frac{\sqrt{2}}{2}$
$\frac{\sqrt{3}}{2}$

$Question\ 3.\ Solve\ cos\ 45^{\circ}$

0
1
$\frac{1}{2}$
$\frac{\sqrt{2}}{2}$
$\frac{\sqrt{3}}{2}$

$Question\ 4.\ Solve\ sin\ 60^{\circ}$

0
1
$\frac{1}{2}$
$\frac{\sqrt{2}}{2}$
$\frac{\sqrt{3}}{2}$

The following image is used in Questions 5 and 6.

$Question\ 5.\ What\ is\ the\ length\ of\ segment\ \overline{BC}\ ?$
$\frac{\sqrt{3}}{2}$
$\frac{1}{2}$
$8\sqrt{3}$
4
$4\sqrt{3}$

$Question\ 6.\ What\ is\ the\ length\ of\ segment\ \overline{AB}\ ?$

$\frac{\sqrt{3}}{2}$
$\frac{1}{2}$
$8\sqrt{3}$
4
$4\sqrt{3}$

$Question\ 7.\ Find\ the\ length\ of\ this\ triangle's\ hypothenuse$

$\sqrt{61}$
11
61
121
36

$Question\ 8.\ What\ is\ tan\ \alpha\ ?$

$\sqrt{3}$
10
$\frac{20}{3}$
$\frac{\sqrt{3}}{3}$
$\frac{20}{\sqrt{3}}$

$Question\ 9.\ Which\ expression\ would\ you\ use\ to\ find\ the\ length\ of\ this\ tree's\ shadow\ ?$

$30. cos 45^{\circ}$
$\frac{30}{cos 45^{\circ}}$
$30. sin 45^{\circ}$
$\frac{30}{sin 45^{\circ}}$
$30. tan 45^{\circ}$

$Question\ 10.\ This\ figure\ represents\ the\ graph\ of\ which\ function\ ?$

$tangent$
$x^2$
$x^3$
$sine$
$cosine$

How does it work? The Trigonometry quiz consists of 10 questions. Answer as many as you feel comfortable doing so and click on Correct my quiz. You will get a page (that you can print) that will show, for each incorrect answer, your answer, the actual answer and the section to review. There is a lot of websites out there explaining math concepts, and the post “ACT Math – Trigonometry Review” will direct you to online resources for each of the section you should review. You can retake the quiz when you are ready to work on the questions you skipped.

The CollegeGuide4Parents Math Tools

The ACT Math test focuses on concepts of pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry and trigonometry. CollegeGuide4Parents created 7 short interactive quizzes (see below for a complete list) designed to help students quickly identify the skills they need to review in each of these areas. When they are done answering a quiz, students are presented with a customized report which shows the mistakes made, the correct answers and the topics they need to work on.

Students are also directed to a review page (see below for a list of all the review pages) which shows a compilation of online resources they can consult to quickly study the concepts they have difficulties with. Review pages also include links to practice worksheets for those needing to spend extra time on some topics. Finally, the review pages also provide links to ACT problems which the students can work on once they are ready to practice.

Quizzes:

(order of operations; even and odd numbers; adding and subtracting signed numbers; multiplying and dividing signed numbers)

(factors and multiples; primes; divisibility; remainders; percentages; fractions; decimals; ratios; proportions; mean, median, and mode; probability; absolute values; exponents; square roots; series)

(substitution; polynomial simplification; linear equations; FOIL; inequalities)

(solving quadratic equations; systems of equations; functions; matrices; logarithms; and equations with variable on both sides)

(inequalities and graphs; distance between points; midpoint; coordinate plane; slope between 2 points; slope of perpendicular and parallel lines; slope-intercept form; intercept; graphs; vertex of parabola)

(lines and angles; acute, obtuse, complementary, and supplementary angles; vertical angles and parallel lines; special triangles; similar triangles; pythagorean theorem; perimeter and area of circles, triangles, and rectangles; volume of 3-dimensional shapes)

(fundamentals of trigonometry; Sine, Cosine, and Tangent; Sine, Cosine, Tangent and the right triangle; graphs of Sine, Cosine and Tangent functions; some more advanced concepts such amplitude, period, phase shift and frequency)

Review Pages:

(order of operations; even and odd numbers; adding and subtracting signed numbers; multiplying and dividing signed numbers)

(factors and multiples; primes; divisibility; remainders; percentages; fractions; decimals; ratios; proportions; mean, median, and mode; probability; absolute values; exponents; square roots; series)

(substitution; polynomial simplification; linear equations; FOIL; inequalities)

(solving quadratic equations; systems of equations; functions; matrices; logarithms; and equations with variable on both sides)

(inequalities and graphs; distance between points; midpoint; coordinate plane; slope between 2 points; slope of perpendicular and parallel lines; slope-intercept form; intercept; graphs; vertex of parabola)

(lines and angles; acute, obtuse, complementary, and supplementary angles; vertical angles and parallel lines; special triangles; similar triangles; pythagorean theorem; perimeter and area of circles, triangles, and rectangles; volume of 3-dimensional shapes)

(fundamentals of trigonometry; Sine, Cosine, and Tangent; Sine, Cosine, Tangent and the right triangle; graphs of Sine, Cosine and Tangent functions; some more advanced concepts such amplitude, period, phase shift and frequency)

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