SOHCAHTOA

Front

What does SOHCAHTOA stand for in trigonometry?

Back

SOHCAHTOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent functions: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

To calculate the sine of an angle, divide the length of the side opposite the angle by the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

Define tangent in the context of a right triangle.

Back

Tangent is the ratio of the length of the opposite side to the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

If the opposite side is 6 and the hypotenuse is 10, what is the sine of the angle?

Back

Sine = Opposite/Hypotenuse = 6/10 = 0.6.

Tags

CCSS.HSG.SRT.C.6

Front

What is the relationship between sine, cosine, and tangent?

Back

Tangent can be expressed as the ratio of sine to cosine: Tangent = Sine/Cosine.

Tags

CCSS.HSG.SRT.C.7

Front

How can you find the length of a side in a right triangle using trigonometric ratios?

Back

You can use the appropriate trigonometric ratio (sine, cosine, or tangent) based on the known angle and the sides you have.

Tags

CCSS.HSG.SRT.C.8

Front

What is the Pythagorean theorem and how does it relate to SOHCAHTOA?

Back

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (a² + b² = c²). It is foundational for understanding the relationships in SOHCAHTOA.

Tags

CCSS.8.G.B.8

Front

If you know the angle and the adjacent side, how can you find the opposite side?

Back

You can use the tangent function: Opposite = Adjacent * Tangent(Angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the value of the sine of a 30-degree angle?

Back

The sine of a 30-degree angle is 0.5.

Tags

CCSS.HSG.SRT.C.7