Using trig to find angles

Front

What is the sine function in relation to a right triangle?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse. It is used to find angles in right triangles.

Front

What is the cosine function in relation to a right triangle?

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. It is used to find angles in right triangles.

Front

What is the tangent function in relation to a right triangle?

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side. It is used to find angles in right triangles.

Front

What does SOH CAH TOA stand for?

Back

SOH CAH TOA is a mnemonic to remember the definitions of sine, cosine, and tangent: SOH = Sine = Opposite/Hypotenuse, CAH = Cosine = Adjacent/Hypotenuse, TOA = Tangent = Opposite/Adjacent.

Front

How do you use inverse sine to find an angle?

Back

To find an angle using inverse sine, use the formula: angle = sin^(-1)(opposite/hypotenuse). This gives the angle whose sine is the given ratio.

Front

How do you use inverse cosine to find an angle?

Back

To find an angle using inverse cosine, use the formula: angle = cos^(-1)(adjacent/hypotenuse). This gives the angle whose cosine is the given ratio.

Front

How do you use inverse tangent to find an angle?

Back

To find an angle using inverse tangent, use the formula: angle = tan^(-1)(opposite/adjacent). This gives the angle whose tangent is the given ratio.

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or θ = 150° (in the range of 0° to 360°).

Front

If cos(θ) = 0.6, what is θ?

Back

θ = 53.13° or θ = 306.87° (in the range of 0° to 360°).

Front

If tan(θ) = 1, what is θ?

Back

θ = 45° or θ = 225° (in the range of 0° to 360°).