Exploring Trigonometric Ratios in Geometry

What does a trigonometric ratio in a right triangle represent?

• The ratio of any two sides of the triangle

• The ratio of the opposite side to the adjacent side

• The ratio of the triangle's area to its perimeter

• The ratio of two specific sides of a right triangle

In the context of trigonometry, what does 'adjacent' refer to?

• The side opposite to the right angle

• Any side of the triangle that is not being used

• The side next to the angle of interest, excluding the hypotenuse

• The longest side of the triangle

How is the sine of an angle in a right triangle defined?

• Hypotenuse over opposite

• Adjacent over hypotenuse

• Opposite over adjacent

• Opposite over hypotenuse

What must be done before solving trigonometry problems on a calculator?

• Set the calculator to degree mode

• Reset the calculator

• Ensure the calculator is charged

• Set the calculator to radian mode

What is the correct way to input a trigonometric function in a calculator?

• Multiply the angle by the function

• Add the function to the angle

• Input the function followed by the angle in parentheses

• Divide the angle by the function

What is the first step in solving a trigonometry problem involving angles?

• Set the calculator to degree mode

• Choose the correct trigonometric function

• Identify the right angle

• Draw the triangle

What does SOHCAHTOA stand for?

• Sine equals Opposite over Hypotenuse, Cosine equals Adjacent over Hypotenuse, Tangent equals Opposite over Adjacent

• Sine equals Opposite over Adjacent, Cosine equals Hypotenuse over Adjacent, Tangent equals Opposite over Hypotenuse

• Sine equals Adjacent over Hypotenuse, Cosine equals Opposite over Hypotenuse, Tangent equals Adjacent over Opposite

• Sine equals Hypotenuse over Opposite, Cosine equals Hypotenuse over Adjacent, Tangent equals Adjacent over Opposite

What is the mnemonic used to remember trigonometric ratios?

• SOHCAHTOA

• TOAHACOS

• HAGOSTOC

• COSATOH

How do you solve for an unknown side using tangent in a right triangle?

• Use the tangent function with the angle and one known side

• Divide the opposite side by the adjacent side

• Multiply the lengths of the known sides

• Add the lengths of the known sides

Which trigonometric function is used to solve for a side adjacent to the angle of interest?

• Tangent

• Cotangent

• Cosine

• Sine