Right Triangle Trigonometry Essentials

What does trigonometry primarily study?

• The measurement of circles

• The measurement of squares

• The measurement of triangles

• The measurement of rectangles

What is the Pythagorean theorem?

• a^2 * b^2 = c^2

• a^2 + b^2 = 2c

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

What is a Pythagorean triple?

• A set of three angles adding up to 180 degrees

• A set of three numbers satisfying a^2 + b^2 = c^2

• A set of three prime numbers

• A set of three equal sides in a triangle

How do you determine if a triangle is acute using the Pythagorean theorem?

• If c^2 > a^2 + b^2

• If c^2 = a^2 + b^2

• If c^2 < a^2 + b^2

• None of the above

What is the sine of a 45-degree angle in a 45-45-90 triangle?

• √3/2

• 1/2

• √2

• 1/√2

What ratio does the sine function represent?

• Adjacent over Hypotenuse

• Opposite over Adjacent

• Opposite over Hypotenuse

• Hypotenuse over Opposite

How do you find the missing side in a right triangle using trigonometry?

• Using the Pythagorean theorem

• Using the cosine function

• Using the sine function

• All of the above

What is the purpose of inverse trigonometric functions in trigonometry?

• To solve for missing angles in a triangle

• To determine if a triangle is right-angled

• To calculate the area of a triangle

• To find the length of sides in a triangle

What does the law of sines relate?

• The sides of a triangle to its angles

• The angles of a triangle to its perimeter

• The sides of a triangle to its area

• The height of a triangle to its base

When is the law of cosines particularly useful?

• When all three sides of a triangle are known

• In right triangles only

• When two sides and the included angle are known

• Both B and C