Exploring Trigonometric Concepts

What theorem is fundamental to understanding right triangles before trigonometry?

• Pythagorean theorem

• Fermat's Last Theorem

• Theorem of Pappus

• Euler's theorem

What does the mnemonic 'SOHCAHTOA' help you remember?

• Principles of calculus

• Steps for solving quadratic equations

• The formulas for sine, cosine, and tangent

• Names of famous mathematicians

In a right triangle, if angle A is 30 degrees, what is the sine of A?

• Adjacent side over hypotenuse

• Opposite side over hypotenuse

• Opposite side over adjacent side

• Hypotenuse over opposite side

How do you calculate the cosine of an angle in a right triangle?

• Adjacent over hypotenuse

• Hypotenuse over adjacent

• Opposite over hypotenuse

• Adjacent over opposite

What is the tangent of an angle primarily compared to?

• Hypotenuse over adjacent

• Adjacent over opposite

• Opposite over adjacent

• Adjacent over hypotenuse

Using the Pythagorean theorem, how do you find the hypotenuse if the legs are 9 and 12?

• 14

• 13

• 15

• 12

If the sides of a right triangle are 5, 12, and 13, what is the sine of the angle opposite the side of length 5?

• 5/13

• 12/13

• 13/5

• 5/12

What is the cosine of an angle if the adjacent side is 12 and the hypotenuse is 13?

• 13/12

• 12/5

• 5/13

• 12/13

In trigonometry, what does the 'adjacent' refer to in relation to a given angle?

• The shortest side of the triangle

• The side next to the angle but not the hypotenuse

• The longest side of the triangle

• The side opposite to the angle

What pattern is observed between the sine of one angle and the cosine of its complementary angle in a right triangle?

• They sum up to 1

• They are reciprocals

• One is the square of the other

• They are equal