5.8.1 + 5.8.2

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: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

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

Back

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

Front

What is the secant (sec) of an angle θ?

Back

The secant of an angle θ is the reciprocal of the cosine of θ, defined as sec(θ) = 1/cos(θ).

Front

What is the relationship between sine and cosine in a right triangle?

Back

In a right triangle, sin(A) = cos(B) where A and B are the non-right angles.

Front

What is the reciprocal of sine?

Back

The reciprocal of sine is cosecant (csc), defined as csc(θ) = 1/sin(θ).

Front

If sin(A) = 3/5, what is csc(A)?

Back

csc(A) = 1/sin(A) = 5/3.

Front

What is the tangent (tan) of an angle θ?

Back

The tangent of an angle θ is defined as tan(θ) = Opposite/Adjacent.

Front

What is the cosine (cos) of an angle θ?

Back

The cosine of an angle θ is defined as cos(θ) = Adjacent/Hypotenuse.

Front

In a right triangle, if one angle is 30°, what is the sine of that angle?

Back

sin(30°) = 1/2.

Front

In a right triangle, if the opposite side is 4 and the hypotenuse is 5, what is the sine of the angle?

Back

sin(θ) = Opposite/Hypotenuse = 4/5.