M2 G 8.3

Front

Solve for x: tan(46°) = 17/x

Back

x = 17/tan(46°) = 12.5 (approx)

Front

What is the ratio for Tangent?

Back

Opposite/Adjacent

Front

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle: sin(θ) = Opposite/Hypotenuse

Back

θ = arcsin(Opposite/Hypotenuse)

Front

Find x: sin(46°) = x/17

Back

x = 17*sin(46°) = 11.5 (approx)

Front

What is the ratio for Sine?

Back

Opposite/Hypotenuse

Front

What is the ratio for Cosine?

Back

Adjacent/Hypotenuse

Front

Solve for x: cos(46°) = x/17

Back

x = 17*cos(46°) = 11.3 (approx)

Front

Find the missing angle using tan: tan(θ) = Opposite/Adjacent

Back

θ = arctan(Opposite/Adjacent)

Front

What is SOH CAH TOA?

Back

Mnemonic for remembering trigonometric ratios: SOH = Sine = Opposite/Hypotenuse, CAH = Cosine = Adjacent/Hypotenuse, TOA = Tangent = Opposite/Adjacent.

Front

Solve for x: sin(θ) = 0.5

Back

θ = 30° or 150° (in degrees)