Dont forget calculator Mode Degrees Mathematics Trigonometry Trigonometry 7 Questions in this content area are based on understanding trigonometric relations in right triangles values and properties of trigonometric functions graphing trigonometric functions modeling usin ID: 759285
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Slide1
ACT Prep
Mathematics – Trigonometry
Slide2Don't forget calculator!Mode: Degrees!
Mathematics – Trigonometry
Slide3Trigonometry (7%). Questions in this content area are based on understanding trigonometric relations in right triangles; values and properties of trigonometric functions; graphing trigonometric functions; modeling using trigonometric functions; use of trigonometric identities; and solving trigonometric equations.
trigonometry
Overview
Topic
Basic Skills
Application
Analysis
Total
Pre-Algebra/Algebra
8
12
4
24
Intermediate Algebra/ Coordinate
Geometry
7
7
4
18
Plane Geometry
6
8
0
14
Trigonometry
2
2
0
4
Slide4trigonometry
Trigonometric Functions for special angles
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Slide5Trigonometry- The Unit Circleall points on the circle are represented by (cos, sin
Quadrants
1 Degree = 1/360 of a revolution (full circle)RadiansAngle with arc length = r1 degree = π/180 radians1 radian = 180o/π
98% of the time, this is given in the problem!
Slide6Trigonometry- The Unit CircleExamples
What quadrant is the angle 210
o?How about radians?A TOUGH ONE:If , what is the value of sin
Slide7trigonometry
Coterminal Angles Angles that common terminal and initial sidesAdd or subtract multiple of 360o (2π for radians) to find coterminal angles
Slide8trigonometry
Six Trigonometric Ratios
Slide9trigonometry
Graph of Sin(x)
Slide10trigonometry
Graph of Cos(x)
Slide11trigonometry
Graph of Tan(x)
Slide12trigonometry
Trig Identities… for any trig value (not just right triangles!)
Example:Find tanx if sinx = ½ and cosx = 1/3
Slide13trigonometry
Solving Nonright Triangles (pg. 308)
Slide14Trigonometry
Practice Problems
Which of the following is the sine of A in the right triangle below? A. 5/13B. 5/12C. 12/13D. 12/5E. 13/5
Slide15Which of the following expressions is the closest approximation to the height h, in feet, of the roof truss shown below? A. 15 tan 20°B. 15 sin 20°C. 30 tan 20°D. 30 sin 20°E. 15/sin 20°
Slide16•In the figure below, points A and B are on opposite banks of a small stream. Point C is on the same bank of the stream as point B and approximately 18 meters from B. The measure of ∠CBA is 45°, and the measure of ∠BCA is 60°.•Which of the following expressions gives the approximate distance, in meters, between point A and point B ?(Note: For ΔPQR, where p, q, and r are the lengths of the sides opposite ∠P, ∠Q, and ∠R, respectively, sinP/p=sinQ/q=sinR/r.) -A. sin60/18sin45 -B. sin60/18sin75 -C. 18sin45/sin60 -D. 18sin60/sin45 -E. 18sin60/sin75
Slide17trigonometry
Practice Problems
Which of the following is equivalent to sin(x) csc(–x) wherever sin(x) csc(–x) is defined? F. –1G. 1H. –tan J. tan K. –sin2