6.1.1 M2 Trig Review & Intro to Special Right

Front

What is a 45-45-90 triangle?

Back

Front

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

Back

The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: \( \cos(P) = \frac{\text{adjacent}}{\text{hypotenuse}} \).

Front

What does SOH-CAH-TOA stand for?

Back

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

Front

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

Back

The sine of angle P is defined as the ratio of the length of the opposite side to the length of the hypotenuse: \( \sin(P) = \frac{\text{opposite}}{\text{hypotenuse}} \).

Front

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

Back

The tangent of angle P is defined as the ratio of the length of the opposite side to the length of the adjacent side: \( \tan(P) = \frac{\text{opposite}}{\text{adjacent}} \).

Front

In a right triangle, if one angle is 36.9 degrees, what is the other non-right angle?

Back

The other non-right angle can be found by subtracting from 90 degrees: \( 90 - 36.9 = 53.1 \) degrees.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. The side opposite the 30-degree angle is the shortest, the side opposite the 60-degree angle is √3 times the shortest side, and the hypotenuse is twice the shortest side.

Front

What is the cosine of 0 degrees?

Back

The cosine of 0 degrees is 1.

Front

What is the sine of 90 degrees?

Back

The sine of 90 degrees is 1.

Front

What is the tangent of 45 degrees?

Back

The tangent of 45 degrees is 1.