Trigonometry Flashcard

Front

What is the Sine function used for in trigonometry?

Back

The Sine function relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What does SOH-CAH-TOA stand for?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

What type of triangles can SOH-CAH-TOA be applied to?

Back

SOH-CAH-TOA can only be applied to right triangles.

Tags

CCSS.HSG.SRT.C.6

Front

How do you estimate the height of an object using trigonometry?

Back

You can use the Sine function along with the angle of elevation and the distance from the object to estimate its height.

Tags

CCSS.HSG.SRT.C.8

Front

If the angle of elevation is 30 degrees and the distance from the base of the tree is 50 ft, what is the height of the tree? (Use Sine)

Back

Height = 50 ft * sin(30°) = 25 ft.

Tags

CCSS.HSG.SRT.C.8

Front

What is the Cosine function used for in trigonometry?

Back

The Cosine function relates the angle of a right triangle to the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Tangent function used for in trigonometry?

Back

The Tangent function relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

If you know the lengths of two sides of a right triangle, how can you find the angle?

Back

You can use the inverse trigonometric functions: sin⁻¹, cos⁻¹, or tan⁻¹ depending on the sides you know.

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula for finding the length of the hypotenuse in a right triangle?

Back

The length of the hypotenuse can be found using the Pythagorean theorem: c² = a² + b².

Tags

CCSS.8.G.B.8

Front

If one angle of a right triangle is 45 degrees, what are the ratios of the sides?

Back

In a 45-45-90 triangle, the sides are in the ratio 1:1:√2.

Tags

CCSS.8.G.B.8