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Warm Up. Wednesday, April 2nd . 8 m. h. 30°. Find the height of the parallelogram 2. 5 7 Find the missing side length. 15 m. EOCT Week 12 #3. Friday April 4th. Right Triangle Quiz . Rest of the week. Today: Introduce trig ratios
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Warm Up Wednesday, April 2nd 8 m. h 30° Find the height of the parallelogram 2. 5 7 Find the missing side length 15 m.
Friday April 4th Right Triangle Quiz
Rest of theweek Today: Introduce trig ratios Thursday: Finding missing side lengths using trig and Review Friday: Quiz
20 m x What is different about this triangle than yesterday’s triangles? What is the same? How could we find x?
The Trigonometric Functions SINE COSINE TANGENT
SINE Pronounced “sign”
COSINE Pronounced “co-sign”
TANGENT Pronounced “tan-gent”
Greek Letter q Prounounced “theta” Represents an unknown angle
hypotenuse hypotenuse opposite opposite adjacent adjacent
Trick to remember SOH CAH TOA
Find the sine, the cosine, and the tangent of angle A. Give a fraction. 10.8 9 A 6 Shrink yourself down and stand where the angle is. Now, figure out your ratios.
Example 1 Write the trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth. Find sin J
Example 2 Write the trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth. cosJ
Example 3 Write the trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth. tan K
Finding an angle.(Figuring out which ratio to use and an inverse trig button.)
20 m ) 20 / 40 Tan-1 40 m Ex: 1 Figure out which ratio to use. Find x. Round to the nearest tenth. x Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.
50 m 15 m ) 15 / 50 Sin-1 Ex: 2 Figure out which ratio to use. Find x. Round to the nearest tenth. x Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.
When we are trying to find a side we use sin, cos, or tan. When we are trying to find an angle we use (INVERSE) sin-1, cos-1,ortan-1.