We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byLenard Shaw
Modified over 7 years ago
Bell Work Find all coterminal angles with 125° Find a positive and a negative coterminal angle with 315°. Give the reference angle for 212°.
5.2 Trigonometric Ratios in Right Triangles
Find the missing measures X X 2.1 13 10.3 8
What is a ratio? B 3 4 The ratio of side AB to side BC can be written as 3 to 4, 3:4, or ¾. (We will use the fraction form) A C 5 A comparison of two numbers
Trigonometric ratios Sine (sin) Cosine (cos) Tangent (tan) Cosecant (csc) Secant (sec) Cotangent (cot)
Trigonometric Ratios BSin C = Opposite Hypotenuse Cos C = Adjacent Hypotenuse Tan C = Opposite Adjacent A C
Find the values of the sine, cosine, and tangent for < B. A 33 18 C B Sin B = opposite = hypotenuse Cos B = Adjacent = hypotenuse Tan B = Opposite = Adjacent 3√85 6 11 √85 11 6√85 85
Find the values of sine, cosine, and tangent for < A B 15 8 A C sin A = Cos A = tan A = 17 8 17 15 17 8 15
Reciprocal Trig Ratios What is a reciprocal? What is the reciprocal of ⅓? What is the reciprocal of ⅔? What is the reciprocal of ⅘ ?
Reciprocal Trig Ratios csc α = 1 sin α sec α = 1 cos α cot α = 1 tan α NOTE: α represents an unknown angle measure
Reciprocal Trig Ratios If cos α = ½, then sec α = ____ If sin α = ¾, then csc α = _______. If cot α = 2, then tan α= _______ 2 4/3 ½
Radical Review √8 √588 7 √3 25 √15
Find the six trigonometric ratios for <P. sin P = csc P = cos P = sec P = tan P = cot P = P M N 10 7 7√149 149 √149 7 10√149 149 √149 10 7 10 7
Find the six trigonometric ratios for <E. sin E = csc E = cos E = sec E = tan E = cot E = D E F 73 3√58 58 7√58 58 3737 7373 √58 3 √58 7
Angle of Elevation
Special Right Triangles 30-60-90 5 5√3
Special Right Triangles 45-45-90 6 6
DEC 2007 ACT F
EXIT PASS Find the EXACT value. 1.cos A 2.tan B 3.csc A
Trigonometry Right Angled Triangle. Hypotenuse [H]
Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems
Section 14-4 Right Triangles and Function Values.
Math 4 S. Parker Spring 2013 Trig Foundations. The Trig You Should Already Know Three Functions: Sine Cosine Tangent.
The Inverse Trigonometric Functions Section 4.2. Objectives Find the exact value of expressions involving the inverse sine, cosine, and tangent functions.
Section 5.3 Trigonometric Functions on the Unit Circle
Section Review right triangle trigonometry from Geometry and expand it to all the trigonometric functions Begin learning some of the Trigonometric.
Trigonometric Ratios Triangles in Quadrant I. a Trig Ratio is … … a ratio of the lengths of two sides of a right Δ.
7.3 Trigonometric Functions of Angles. Angle in Standard Position Distance r from ( x, y ) to origin always (+) r ( x, y ) x y y x.
Right Triangle Trigonometry Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 The six trigonometric functions of a.
Right Triangle Trigonometry Trigonometry is based upon ratios of the sides of right triangles. The six trigonometric functions of a right triangle, with.
Right Triangle Trigonometry Trigonometry is based upon ratios of the sides of right triangles. The ratio of sides in triangles with the same angles is.
Interactive Notes Ms. Matthews. Label it QRS, where R is the RIGHT angle Which SIDE is OPPOSITE of ANGLE Q? Which SIDE is ADJACENT to ANGLE Q?
Trigonometric Ratios Consider the triangle given below. 1.The box in the bottom right corner tells us that this is a right triangle. 2.The acute angle.
Chapter 3 Trigonometric Functions of Angles Section 3.2 Trigonometry of Right Triangles.
January 19 th in your BOOK, 4.2 copyright2009merrydavidson.
12-2 Trigonometric Functions of Acute Angles
Right Triangle Trigonometry
© 2022 SlidePlayer.com Inc. All rights reserved.