Trigonometry Basics Quiz

Why is it important to learn basic trigonometry for the ACT test?

• It is required for all college courses.

• It is a major part of the test.

• It helps in solving complex algebra problems.

• It can help you score points even if you're not comfortable with math.

What is the primary focus of trigonometry?

• Calculating areas of circles.

• Understanding the relationship between sides and angles of triangles.

• Solving linear equations.

• Graphing quadratic functions.

In a right triangle, what does the term 'adjacent' refer to?

• The side opposite the right angle.

• The side next to the angle of interest.

• The longest side of the triangle.

• The side opposite the angle of interest.

What does the mnemonic 'SOHCAHTOA' help you remember?

• The order of operations in math.

• The ratios for sine, cosine, and tangent.

• The names of different types of triangles.

• The steps for solving quadratic equations.

What is the sine of an angle in a right triangle?

• Opposite over adjacent.

• Hypotenuse over adjacent.

• Opposite over hypotenuse.

• Adjacent over hypotenuse.

If the tangent of an angle is needed, which sides of the triangle are used?

• Adjacent and hypotenuse.

• Opposite and adjacent.

• Hypotenuse and opposite.

• Opposite and hypotenuse.

How can you find the hypotenuse if you know one angle and the opposite side?

• Use cosine to find the adjacent side first.

• Multiply the opposite side by the tangent.

• Use the Pythagorean theorem directly.

• Set up a ratio using sine and solve.

In an ACT-like problem, if the cosine of an angle is given, what does it represent?

• The ratio of adjacent to hypotenuse.

• The ratio of hypotenuse to opposite.

• The ratio of opposite to adjacent.

• The ratio of opposite to hypotenuse.

What is a common characteristic of ACT trigonometry problems?

• They require knowledge of calculus.

• They often involve Pythagorean triples.

• They always require a calculator.

• They focus on non-right triangles.

What is the benefit of recognizing a 3-4-5 triangle in a problem?

• It simplifies the calculation of angles.

• It helps in graphing the triangle.

• It is necessary for solving quadratic equations.

• It allows for quick identification of side lengths.