Right Triangle Trigonometry Concepts

What theorem is used when two sides of a triangle are known?

• Law of Sines

• Trigonometric ratios

• Law of Cosines

• Pythagorean theorem

Which set of angles defines a special right triangle?

• 60°, 60°, 60°

• 30°, 60°, 90°

• 30°, 45°, 105°

• 45°, 45°, 90°

In a 30-60-90 triangle, if the side opposite the 30° angle is 3, what is the length of the hypotenuse?

• 6

• 9

• 3√3

• 12

Which trigonometric function relates the opposite side to the hypotenuse?

• Cotangent

• Tangent

• Cosine

• Sine

What should you do if your calculator is not set to degrees when solving trigonometric functions?

• Estimate the results

• Use a different calculator

• Change the mode to degrees

• Reset the calculator

What is the length of side J when the angle is 25.7° and the adjacent side is 532 ft?

• 265 ft

• 532 ft

• 523 ft

• 256.03 ft

Which trigonometric function is used to solve for side J using the angle 25.7° and the adjacent side?

• Cosine

• Sine

• Tangent

• Secant

What is the length of side K when the adjacent side is 532 ft and the angle is 25.7°?

• 600 ft

• 590.4 ft

• 532 ft

• 560 ft

Which trigonometric function is used to solve for side K using the angle 25.7° and the adjacent side?

• Sine

• Cosine

• Tangent

• Cosecant

Why is it recommended to use given values when solving for sides in trigonometry?

• To avoid using a calculator

• To make calculations faster

• Because it's easier

• To ensure accuracy