Trigonometry and Triangle Calculations Quiz

In triangle DEF, if the angle is 39 degrees and the adjacent side is 20, which trigonometric function is used to find the hypotenuse?

• Cosine

• Sine

• Tangent

• Secant

What is the value of X when solving for the hypotenuse in triangle DEF with angle 51 degrees and opposite side 17?

• 19.65

• 25.74

• 23.45

• 21.87

In triangle ST, which side is considered the hypotenuse?

• The side opposite the right angle

• The side opposite the given angle

• The side adjacent to the angle

• The longest side

Which trigonometric function is used to find the adjacent side in triangle ST with a given angle of 42 degrees?

• Cotangent

• Tangent

• Cosine

• Sine

In triangle ABC, if the angle is 18 degrees and the opposite side is 12, which function helps find the adjacent side?

• Cosecant

• Tangent

• Cosine

• Sine

What is the length of the adjacent side BC in triangle ABC when using tangent with angle 18 degrees?

• 36.93

• 25.74

• 30.12

• 40.56

In the final example, which trigonometric function is used to find the opposite side with a given angle of 27 degrees?

• Secant

• Tangent

• Cosine

• Sine

What is the calculated length of the opposite side when using sine with angle 27 degrees and hypotenuse 13.6?

• 8.21

• 6.17

• 7.89

• 5.34

Why is it important to ensure your calculator is in degree mode when solving these problems?

• To simplify the process

• To match the units of measurement

• To ensure the calculator functions properly

• To avoid incorrect angle calculations

What should you remember about parentheses when entering trigonometric functions into a calculator?

• Use them only for sine

• They are optional

• Leave them open for multiplication

• Always close them after the angle