SOHCAHTOA Review

Front

What does SOHCAHTOA stand for?

Back

SOHCAHTOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent functions in a right triangle: Sine = Opposite/Hypotenuse (SOH), Cosine = Adjacent/Hypotenuse (CAH), Tangent = Opposite/Adjacent (TOA).

Front

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

Back

The sine of an angle (B) is the ratio of the length of the side opposite the angle to the length of the hypotenuse. It is represented as sin(B) = Opposite/Hypotenuse.

Front

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

Back

The cosine of an angle (B) is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. It is represented as cos(B) = Adjacent/Hypotenuse.

Front

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

Back

The tangent of an angle (B) is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. It is represented as tan(B) = Opposite/Adjacent.

Front

If sin(B) = b/c, what do 'b' and 'c' represent?

Back

'b' represents the length of the side opposite angle B, and 'c' represents the length of the hypotenuse.

Front

If cos(57) = x/20, how do you solve for x?

Back

To solve for x, multiply both sides by 20: x = 20 * cos(57).

Front

What is the opposite side to angle B in a right triangle?

Back

The opposite side to angle B is the side that does not touch angle B and is directly across from it.

Front

What is the adjacent side to angle B in a right triangle?

Back

The adjacent side to angle B is the side that forms angle B along with the hypotenuse.

Front

How do you find the length of the hypotenuse using SOHCAHTOA?

Back

You can find the hypotenuse by rearranging the sine or cosine formulas: Hypotenuse = Opposite/sin(B) or Hypotenuse = Adjacent/cos(B).

Front

What is the formula to find the opposite side using tangent?

Back

The opposite side can be found using the formula: Opposite = Adjacent * tan(B).