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# Trig 1 notes

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• 1. SOHCAHTOAHW wkst 7­4 odds, 7­5 evens 1Apr 15­4:31 PMTrigonometric RatiosObjectives: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.hypotenuseadjacentsideoppositesideAngle of Perspective : the angle from which you are lookinghypotenuseadjacentsideoppositeside
• 2. SOHCAHTOAHW wkst 7­4 odds, 7­5 evens 2Apr 15­4:59 PMopposite sidehypotenuseadjacent sidesin α =Trig Ratios:(where α represents the measure of the perspective angle)opposite sidehypotenusecos α =adjacent sidetan α =Find each trigonometric ratio accurate to 4 decimal places:sin 28o cos 65o tan 50oSolve for x.  Round to the nearest hundredth.sin 50o=x20tan 33o=x26cos 82o =x20tan 17o =x38
• 3. SOHCAHTOAHW wkst 7­4 odds, 7­5 evens 3Apr 23­10:54 AM25ox22Find 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 ymn18.637o
• 4. SOHCAHTOAHW wkst 7­4 odds, 7­5 evens 4Apr 18­10:08 AMxyo172649xoy
• 5. SOHCAHTOAHW wkst 7­4 odds, 7­5 evens 5Apr 28­8:34 AMAngles of ElevationAn angle of elevation is the angle between the line of sight and the horizontal when an observer looks upward.Angles of DepressionAn angle of depression is the angle between the line of sight when an observer looks downward, and the horizontal.
• 6. SOHCAHTOAHW wkst 7­4 odds, 7­5 evens 6Apr 28­8:36 AMAn 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. SOHCAHTOAHW wkst 7­4 odds, 7­5 evens 7Apr 28­8:38 AMHW7­4 Wkst odds7­5 Wkst evens