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13.3 T RIG FUNCTIONS OF GENERAL ANGLES Algebra II w/ trig
I. Let theta be an angle in standard position with any point (x, y) on its terminal side. Then let. (cosine is x; sine is y)
A. Given a point on the terminal side of angle theta. Find the exact six trig functions. 1. (-12, 5) 2.
II. For each function, find the exact values of the remaining five trig functions. 1. quadrant II 2. quadrant IV
3. quadrant III
III. Reference Angle is formed by the terminal side and the x-axis. ***Reference angles are always acute and always positive.
A. Find the reference angle for each of the following º º º
IV. Evaluating Trig Function of any Angle --find the reference angle --evaluate the trig function for the --use the quadrant in which is in to determine the sign 0° 30° 45° 60° 90° Sin Cos Tan
Find the exact value of each trig function 1. sin 135° 2.
Copyright © Cengage Learning. All rights reserved. 4.4 Trigonometric Functions of Any Angle.
Reference Angles And Trigonometry Using Trigonometry in a Right Triangle We were limited to Acute Angles We can extend Trigonometry to Angles of Any.
Determining signs of Trig Functions (Pos/Neg) x y Last class we found trig values using an x-y coordinate. Not all trig values are positive We can determine.
Chapter 7 Review. Solve for 0° ≤ θ ≤ 90° 1.) If tan θ = 2, find cot θ2.) if sin θ = ⅔, find cos θ 3.) If cos θ = ¼, find tan θ4.) If tan θ = 3, find sec.
Finding Reference Angles. It is necessary to be able to make larger angles smaller. We do this by finding reference angles: Step: 1.Start by drawing the.
Circular Trigonometric Functions Y X r θ circle…center at (0,0) radius r…vector with length/direction angle θ… determines direction.
Page 1 TRIGONOMETRY. Page 2 TrigonometryAn Introduction Trigonometry is the study of the relationship between the angles and the sides of triangles. Example:
Trigonometric Functions The Unit Circle. Definition: A circle whose center is the origin and whose radius has a length of one. Based on the definition,
By bithun jith. Done by bithun jith binoy k.v.pattom You must know and memorize the following. Pythagorean Identities: sin 2 x + cos 2 x = tan 2.
(x, y) r Use Pythagorean Theorem: x 2 + y 2 = r 2 Note: x can be and y can be (depending on the Quadrant) Since r is the radius, it must be (+) because.
Aim: Graphs of Reciprocal Functions Course: Alg. 2 & Trig. Do Now: Aim: How can we graph the reciprocal trig functions using the three basic trig ones?
CHAPTER 4 Trigonometric Functions. 4.1 Angles & Radian Measure Objectives –Recognize & use the vocabulary of angles –Use degree measure –Use radian measure.
Copyright © Cengage Learning. All rights reserved. 4.3 Right Triangle Trigonometry.
DegRad DegRad DegRad. x y Find the for all angles that are between 0 and 360 degrees (also in include the radian measurements From the chart we get that.
Resultant of two forces Resultant of parallel forces Resultant of perpendicular forces Resultant two forces at any angle Learning objectives.
X y Find the exact trig values for an angle of This angle has a terminal side in the 2 nd quadrant (because 5/4 = 1.2)
Trigonometry Review. Hopefully, you remember these from last year (you were required to memorize ten of them) plus SOH CAH TOA. If not, you need to.
VECTORS IN A PLANE Pre-Calculus Section 6.3. CA content standards: Trigonometry 12.0 Students use trigonometry to determine unknown sides or angles in.
Ch 5.5: Multiple-Angle and Product-to-Sum Formulas.
Mathematics. Session Properties of Triangle - 2 Session Objectives.
HW 9 P (19-21, even, 56, 57, 66, even) P100 (12-22 even, 19)
Ordered pairs are used to locate points in a coordinate plane. x-axis (horizontal axis) origin (0,0) y-axis (vertical axis)
Additional formulae sin (A + B) = sin A cos B + sin B cos A sin (A - B) = sin A cos B - sin B cos A cos (A + B) = cos A cos B - sin A sin B cos (A - B)
13.4 – The Sine Function. I. Interpreting Sine Functions The sine function, y = sin θ, matches the measure θ of an angle in standard position with the.
Trigonometry. A review of basic trigonometry SOH CAH TOA ‘Opposite’ and ‘adjacent’ are defined by the angle that is being considered. opposite adjacent.
E-learning extended learning for chapter 11 (graphs)
Solving Right Triangles Essential Question How do I solve a right triangle?
TrigonometryApplying ASTC, Reference, Coterminal Angles In the old days, when people didnt have a calculator and only had a table of reference for the.
Graphs & Functions Strategies Higher Maths Click to start.
Using Fundamental Identities Objectives: 1.Recognize and write the fundamental trigonometric identities 2.Use the fundamental trigonometric identities.
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