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Trig 1 notes
1.
SOHCAHTOA HW wkst 74 odds, 75 evens 1 Apr 154:31 PM Trigonometric Ratios Objectives: 1. To find trigonometric ratios using right triangles. 2. Solve problems using trigonometric ratios. What is trigonometry? Trigonometry is the study of the relationships between the sides & the angles of Δ. The key to basic trigonometry to is determine which sides are involved when looking from the angle of perspective. There are 3 basic trigonometric functions: sine (sin) cosine (cos)
tangent (tan) These trigonometric ratios are related to angle measurements. hypotenuse adjacent side opposite side Angle of Perspective : the angle from which you are looking hypotenuse adjacent side opposite side
2.
SOHCAHTOA HW wkst 74 odds, 75 evens 2 Apr 154:59 PM opposite side hypotenuse adjacent side sin α = Trig Ratios: (where α represents the measure of the perspective angle) opposite side hypotenuse cos α = adjacent side tan α = Find each trigonometric ratio accurate to 4 decimal places: sin 28o cos 65o
tan 50o Solve for x. Round to the nearest hundredth. sin 50o = x 20 tan 33o = x 26 cos 82o = x 20 tan 17o = x 38
3.
SOHCAHTOA HW wkst 74 odds, 75 evens 3 Apr 2310:54 AM 25o x 22 Find the measure of the missing information accurate to the nearest whole unit. Find the measure of each angle to the nearest degree. sin α =.471 cos δ = 1
tan θ = 1.57 y m n 18.6 37o
4.
SOHCAHTOA HW wkst 74 odds, 75 evens 4 Apr 1810:08 AM x yo 17 26 4 9 xo y
5.
SOHCAHTOA HW wkst 74 odds, 75 evens 5 Apr 288:34 AM Angles of Elevation An angle of elevation is the angle between the line of sight and the horizontal when an observer looks upward. Angles of Depression An angle of depression is the angle between the line of sight when an observer looks downward, and the horizontal.
6.
SOHCAHTOA HW wkst 74 odds, 75 evens 6 Apr 288:36 AM An airplane is flying at a height of 2 miles above the ground. The distance along the ground from the airplane to the airport is 5 miles. What is the angle of depression from the airplane to the airport? A building is 50 feet high. At a distance away from the building, an observer notices that the angle of elevation to the top of the building is 41º. How far is the observer from the base of the building?
7.
SOHCAHTOA HW wkst 74 odds, 75 evens 7 Apr 288:38 AM HW 74 Wkst odds 75 Wkst evens
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