1. 9-1 Tangent Ratio 9-2 Sine and Cosine Ratio Learning Target: I will be able to solve problems using the tangent, sine, and cosine ratios. Goal 1.01

2. Some Old Hippy Caught Another Hippy Tripping On Acid This is a way to remember the three trig ratios. Sine, Cosine, and Tangent. A Leg Opposite A Leg Adjacent to A Hypotenuse

3. Sine Ratio Some Old Hippy A Leg Opposite A Leg Adjacent to A Hypotenuse Sine A = Opposite Hypotenuse _________

4. Examples: 1. Find the value of x. 2. Find the value of x. x 25 30 0 x0x0 7 13 sin 30 0 = x 25 25 sin 30 0 =x x=12.5 sin x 0 = 7 13 x 0 = sin -1 (7/13) x= 32.58 0

5. Cosine Ratio Caught Another Hippy A Leg Opposite A Leg Adjacent to A Hypotenuse Cosine A = Adjacent Hypotenuse _________

6. Examples: 1. Find the value of x. 2. Find the value of x. x 42 0 13 x0x0 5 cos 42 0 = x 13 13*cos42 0 = x x=9.66 cos x 0 = 5 13 x=cos -1 (5/13) x=67.38 0

7. Tangent Ratio Tripping on Acid A Leg Opposite A Leg Adjacent to A Hypotenuse Tangent A = Opposite ________ Adjacent

8. Examples: 1. Find the value of x. 2. Find the value of x. 25 0 3 x x0x0 3 4 tan 25 0 = 3 x x*tan 25 0 = 3 x = 3 tan 25 0 x=6.434 tan x 0 = 3/4 x 0 = tan -1 (3/4) x = 36.87 0