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Warm – up . Find the missing measures. Write all answers in radical form . . x. 30 °. 30 . 10. z. 45 . 3. 60 . y. 45 . 60 °. y. Wed More 5.2 & 5.3 and 5.4 . Agenda for today. Notes SOHCAHTOA CW/HW. Thur Sect 5.4 cont and applications. Fri Test Unit #4.
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Warm – up Find the missing measures. Write all answers in radical form. x 30° 30 10 z 45 3 60 y 45 60° y
Wed More 5.2 & 5.3 and 5.4 Agenda for today • Notes SOHCAHTOA • CW/HW Thur Sect 5.4 cont and applications Fri Test Unit #4
Date: 09/29/09Questions over hw?Standards:MA2G2:a: Discover the relationship of the trigonometric ratios for similar triangles.Students will define and apply sine, cosine, and tangent ratios to right triangles.
5.2 & 5.3 The Trigonometric Functions we will be looking at SINE COSINE TANGENT
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
Some Old Hippie Came A Hoppin’ Through Our Old Hippie Apartment
Sin SOHCAHTOA Opp Hyp Cos Adj Hyp Tan Opp Adj Old Hippie
Finding sin, cos, and tan.(Just writing a ratio or decimal.)
Find the sine, the cosine, and the tangent of angle A. Give a fraction and decimal answer (round to 4 places). 10.8 9 A 6 Shrink yourself down and stand where the angle is. Now, figure out your ratios.
Find the sine, the cosine, and the tangent of angle A 24.5 Give a fraction and decimal answer (round to 4 decimal places). 8.2 A 23.1 Shrink yourself down and stand where the angle is. Now, figure out your ratios.
Finding a side.(Figuring out which ratio to use and getting to use a trig button.)
20 m 20 55 ) tan x Ex: 1 Figure out which ratio to use. Find x. Round to the nearest tenth. Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.
80 ft 80 ( 72 = ) ) tan x Ex: 2 Find the missing side. Round to the nearest tenth. Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.
283 m x Ex: 3 Find the missing side. Round to the nearest tenth. Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.
Ex: 4 Find the missing side. Round to the nearest tenth. 20 ft x
Finding an angle.(Figuring out which ratio to use and getting to use the 2nd button and one of the trig buttons.)
17.2 9 ) 2nd tan Ex. 1: Find . Round to four decimal places. 17.2 9 Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem. Make sure you are in degree mode (not radians).
7 23 ) 2nd cos Ex. 2: Find . Round to three decimal places. 7 23 Make sure you are in degree mode (not radians).
200 400 ) 2nd sin Ex. 3: Find . Round to three decimal places. 200 400 Make sure you are in degree mode (not radians).
When we are trying to find a sidewe use sin, cos, or tan. When we are trying to find an angle we use sin-1, cos-1,ortan-1.
Class Work WS Packet