Tangent Trigonometry

What is the ratio for Tangent

• Opposite/Adjacent

• Adjacent/Opposite

• Opposite/Hypotenuse

• Hypotenuse/Opposite

If you are given the two sides that are NOT the hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

What is the correct ratio set up for finding the tangent of Angle A? Remember: Tangent = opposite/adjacent

• 20/12

• 12/20

• 12/16

• 16/12

What is the green side labelled as using the starred angle as a starting point?

• adjacent

• opposite

• hypotenuse

Sketch a graph of the parent tangent function, y = tan a. Describe the domain, range, symmetry, period, and any asymptotes of the graph. Use Demos to sketch the graph.

b

c

d

e

a

All angle measures

Point symmetry (odd)

All angle measures except 90, 270, etc

What about tangent? Use the triangle to answer the following questions. In terms of x and y, what does tanθ equal? tanθ=​ ​ (a)   In terms of sinθ and cosθ, what does tanθ equal? tanθ=​ (b)  

• x

• y

• sinθ

• cosθ

Sketch a graph of the parent tangent function, y = tan a. Describe the domain, range, symmetry, period, and any asymptotes of the graph. Use Demos to sketch the graph.

b

c

d

e

a

All angle measures

All angle measures except 90, 270, etc

Point symmetry (odd)

Sketch a graph of the parent tangent function, y = tan a. Describe the domain, range, symmetry, period, and any asymptotes of the graph.

b

c

d

e

a

All angle measures

All angle measures except 90, 270, etc

Point symmetry (odd)

What is the formula for Tangent?

• Adjacent/Opposite

• Adjacent/Hypotenuse

• Opposite/Adjacent

• Opposite/Hypotenuse

We can use SOH-CAH-TOA for...

• Any triangle ever

• Non-right triangles only

• Right Triangles only

• Never