1 Special Angle Values. 2 Directions A slide will appear showing a trig function with a special angle. Work out the answer Hit the down arrow to check.

Slides:



Advertisements
Similar presentations
Trigonometry Right Angled Triangle. Hypotenuse [H]
Advertisements

Trigonometry Just the Basics March 7, Remember Special Triangles.
Trig Graphs. y = sin x y = cos x y = tan x y = sin x + 2.
Special Triangles: 45 o -45 o -90 o ° x x Example: 45° 7 7 x x.
1 Special Angle Values. 2 Directions A slide will appear showing a trig function with a special angle. Work out the answer Hit the down arrow to check.
1 Special Angle Values DEGREES. 2 Directions A slide will appear showing a trig function with a special angle. Say the value aloud before the computer.
Evaluating Sine & Cosine and and Tangent (Section 7.4)
TRIGONOMETRY. Sign for sin , cos  and tan  Quadrant I 0° <  < 90° Quadrant II 90 ° <  < 180° Quadrant III 180° <  < 270° Quadrant IV 270 ° < 
Let’s Play What have you learned about Analytic Geometry?
Find the period of the function y = 4 sin x
Section 5.5.  In the previous sections, we used: a) The Fundamental Identities a)Sin²x + Cos²x = 1 b) Sum & Difference Formulas a)Cos (u – v) = Cos u.
Starter a 6 c A 53° 84° 1.Use Law of Sines to calculate side c of the triangle. 2.Use the Law of Cosines to calculate side a of the triangle. 3.Now find.
5.3 Solving Trigonometric Equations. What are two values of x between 0 and When Cos x = ½ x = arccos ½.
1 7.3 Evaluating Trig Functions of Acute Angles In this section, we will study the following topics: Evaluating trig functions of acute angles using right.
Trigonometry (RIGHT TRIANGLES).
Jeopardy Trig fractions Solving For Angles Solving for Sides Other Trig Stuff $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.
EXAMPLE 1 Use an inverse tangent to find an angle measure
Trigonometry. Basic Ratios Find the missing Law of Sines Law of Cosines Special right triangles
Trigonometric Equations Edited by Mr. Francis Hung Last Updated: 2013–03–12 1http:///
Solving Trigonometric Equations Involving Multiple Angles 6.3 JMerrill, 2009.
Warm Up Sign Up. AccPreCalc Lesson 27 Essential Question: How are trigonometric equations solved? Standards: Prove and apply trigonometric identities.
Trigonometry Review Game. Do not use a calculator on any of these questions until specified otherwise.
Sum and Difference Formulas New Identities. Cosine Formulas.
Trig Ratios SohCahToa Sine = Sin A = ___ Sin C = ___.
Trigonometric Equations Edited by Mr. Francis Hung Last Updated:
Tuesday 3/24. Warm Up Determine the six trigonometric ratios for the following triangle: y r x θ sin θ =csc θ = cos θ =sec θ = tan θ =cot θ = What if.
A jogger runs 145m in a direction 20
Basic Trigonometric Identities In this powerpoint, we will use trig identities to verify and prove equations.
Trig Review: PRE-AP Trigonometry Review Remember right triangles? hypotenuse θ Opposite side Adjacent side Triangles with a 90º angle.
Chapter 4-5: Exact Values of Sin, Cos, and Tan. Special Right Triangles: ° 30° 1 2 √3 45° 1 1 √2 Remember to use SohCahToa: Evaluate.
Geometry 8-2 Trigonometric Ratios A trigonometric (trig) ratio is a ratio of two sides of a right triangle. Use trig ratios when the right triangle only.
_______º _______ rad _______º ________ rad ­­­­ _______º _______ rad _______º _______ rad ­­­­ _______º _______ rad ______º _______ rad Unit Circle use.
Sin, Cos, Tan with a calculator  If you are finding the sin, cos, tan of an angle that is not a special case (30, 60, 45) you can use your calculator.
Section 1.4 Trigonometric Functions an ANY Angle Evaluate trig functions of any angle Use reference angles to evaluate trig functions.
Section 5.2 Right Triangle Trigonometry. Function Values for Some Special Angles.
Pg. 362 Homework Pg. 362#56 – 60 Pg. 335#29 – 44, 49, 50 Memorize all identities and angles, etc!! #40
Finding a Missing Angle of a Right Triangle. EXAMPLE #1  First: figure out what trig ratio to use in regards to the angle.  Opposite and Adjacent O,A.
Warm-Up Write the sin, cos, and tan of angle A. A BC
Understanding the Unit Circle
Sketching Angles and Reference Angles Sketch an angle of 275º and then find its reference angle x y The angle is a little more than that 270º so it is.
(1) Sin, Cos or Tan? x 7 35 o S H O C H A T A O Answer: Tan You know the adjacent and want the opposite.
Trig Ratios C 5 2 A M 4. If C = 20º, then cos C is equal to:
8.4 Trigonometry In Right triangles. A. Express sin L, cos L, and tan L as a fraction and as a decimal to the nearest ten thousandth.
Sin x = Solve for 0° ≤ x ≤ 720°
Check the mode on your Calculator! INVERSE TRIG FUNCTIONS Have out a sheet of paper, calculator and Pencil!
Pg. 384/408 Homework See later slide. #2V stretch 3, H stretch 2, V shift up 2, H shift left π #4V Stretch 2, H shrink ½, V shift up 1,H shift right π/2.
Unit Circle ( √3, 1 ) 2 2 ( 1, √3 ) 2 2 ( √2, √2 ) ˚ 45˚ 60˚
6.1 – 6.5 Review!! Graph the following. State the important information. y = -3csc (2x) y = -cos (x + π/2) Solve for the following: sin x = 0.32 on [0,
A C M If C = 20º, then cos C is equal to: A. sin 70 B. cos 70 C. tan 70.
Pg. 407/423 Homework Pg. 407#33 Pg. 423 #16 – 18 all #9 tan x#31#32 #1x = 0.30, 2.84#2x = 0.72, 5.56 #3x = 0.98#4No Solution! #5x = π/6, 5π/6#6Ɵ = π/8.
4.3 Right Triangle Trigonometry Objective: In this lesson you will learn how to evaluate trigonometric functions of acute angles and how to use the fundamental.
Jeopardy Simplify Trig expressions Verify Trig Identities Find all Solutions Solutions with multiple angles Solutions with factoring Q $100 Q $200 Q $300.
Trigonometric Ratios of Any Angle
Trig Functions – Part Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems.
Inverse Trig Functions Tonight’s HW: 3.7 p.483, 5, 6, 13, 23, 25, 31.
ANSWERS. Using Trig in every day life. Check Homework.
Section 7-6 The Inverse Trigonometric Functions. Inverse Trig. Functions With the trigonometric functions, we start with an angle, θ, and use one or more.
Objective: Use unit circle to define trigonometric functions. Even and odd trig functions. Warm up 1.Find and. 2.Give the center and radius of a circle.
EXAMPLE 1 Use an inverse tangent to find an angle measure Use a calculator to approximate the measure of A to the nearest tenth of a degree. SOLUTION Because.
Degrees Radians radians = degrees degrees = radians.
The unit circle.
Special Angle Values.
Graphing Trigonometry Functions
Find sin 2x, cos 2x, and tan 2x from the given information: {image} Select the correct answer:
Examples Double Angle Formulas
Warm-up: Find the exact values of the other 5 trigonometric functions given sin= 3 2 with 0 <  < 90 CW: Right Triangle Trig.
THE BATTLE OF LONG TAN.
x x HW 13: Inverse Trig Functions HW 13: Inverse Trig Functions
Review for test Front side ( Side with name) : Odds only Back side: 1-17 odd, and 27.
Presentation transcript:

1 Special Angle Values

2 Directions A slide will appear showing a trig function with a special angle. Work out the answer Hit the down arrow to check your answer

3 sin 60º=

4 tan 240º=

5 cos 210º=

6 cos 45º=

7 sin 120º=

8 tan 225º=

9 cos 150º=

10 cos 90º=

11 tan 180º=

12 tan 30º=

13 sin 300º=

14 tan 150º=

15 cos 0º=

16 tan 90º=

17 sin 240º=

18 cos 180º=

19 cos 240º=

20 cos 60º=

21 sin 210º=

22 tan 210º=

23 sin 225º=

24 sin 150º=

25 cos 330º=

26 tan 0º=

27 sin 45º=

28 cos 225º=

29 sin 180º=

30 sin 90º=

31 cos 300º=

32 tan 45º=

33 sin 330º=

34 cos 360º=

35 tan 120º=

36 cos135 º=

37 tan 60º=

38 cos 30º=

39 tan 315º=

40 sin270º=

41 sin 360º=

42 cos 315º=

43 tan 300º=

44 sin 0º=

45 sin 315º=

46 sin 30º=

47 tan 360º=

48 cos 270º=

49 sin 135º=

50 tan 135º=

51 tan 270º=

52 cos 120º=

53 tan 330º=