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What is a FUNCTION? an input/output machine where… …each input has EXACTLY one output. …outputs are 100% predictable.
So what does an INVERSE function do? It reverses the process of a function. Consequently, it changes the outputs BACK to inputs.
INVERSE example: INVERSE Function Machine
What about trigonometric functions? Sine, cosine, and tangent have ANGLES as inputs. Their outputs are a ratio of sides (Remember Soh-Cah-Toa)
How do INVERSE trigonometric functions work? The input of an INVERSE trig function is a ratio of sides. The output of an INVERSE trig function is an ANGLE.
sin -1 ( )
FUNCTION INVERSE FUNCTION
Choose the OUTPUT… B A C BC AB
Choose the OUTPUT… B A C CA AB
Choose the OUTPUT… B A C
B A C
Trigonometry Ratios. Example 1 Write the Trig Ratio for each of the following ( soh, cah, toa)
Solving Right Triangles Essential Question How do I solve a right triangle?
Trigonometry Basics Right Triangle Trigonometry.
Trig SOH CAH TOA A C B. WHICH HOUSE WOULD YOU RATHER LIVE IN? House number 1 OR House number 2?
Ch 5.2: Verifying Trig Identities. What are you doing? Trying to prove the left side equals the right side How do I do that? 1.Pick ONE SIDE to simplify.
Vocabulary trigonometry trigonometric ratio sine cosine tangent inverse sine inverse cosine inverse tangent.
Trigonometry. Sides and Angles Basic trigonometry is about things to do with the different ANGLES in a right angle triangle Look at the angle labeled.
SOHCAHTOA TOA CAH SOH The three trigonometric ratios for right angled triangles are considered here. Click on a box to select a ratio.
GDC Set up Ensure that your calculator is in degree mode and that you know how to adjust the v-window of your graphs before doing these trigonometry graphs.
Copyright © Cengage Learning. All rights reserved. 4.7 Inverse Trigonometric Functions.
The inverse trigonometric functions The reciprocal trigonometric functions Trigonometric identities Examination-style question Contents © Boardworks Ltd.
SOH-CAH-TOA. Warm – up: Find the missing measures. Write all answers in radical form. 45° x w 7 60° 30° 10 y z.
The Ambiguous Case of the Law of Sines. This is the SSA case of an oblique triangle. SSA means you are given two sides and the angle opposite one of them.
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.
Reference Angles And Trigonometry Using Trigonometry in a Right Triangle We were limited to Acute Angles We can extend Trigonometry to Angles of Any.
Army Daniel SOH-CAH-TOA EAST OF JAVA [Exploring Trigonometric Functions]
Page 1 TRIGONOMETRY. Page 2 TrigonometryAn Introduction Trigonometry is the study of the relationship between the angles and the sides of triangles. Example:
Into to A.C. CKT Right Triangles and Phasor. Information n Mechanical Degree u Unit of measurement of rotational movement 360 degree n Angle u Whenever.
~Finding the Height of a Tree~ ~ SOH CAH TOA~ Hypothesize: How will we find the height of a tree? What role do triangles play in finding unknown heights.
13.3 T RIG FUNCTIONS OF GENERAL ANGLES Algebra II w/ trig.
Differentiation Department of Mathematics University of Leicester.
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)
Inverses of Functions Part 2 Lesson 2.9. Reminder from yesterday.
GRAPHS OF OTHER TRIG FUNCTIONS. We are interested in the graph of y = f(x) = tan x Start with a "t" chart and let's choose values from our unit circle.
Questions from Homework??. Find the missing measures. Write all answers in radical form. 30° 60° 10 z y Warm – up 3 45 y 60 30 45 x z.
2.3 Continuity When you plot function values generated in a laboratory or collected in a field, you can connect the plotted points with an unbroken curve.
Copyright © Cengage Learning. All rights reserved. 4.3 Right Triangle Trigonometry.
Trigonometric Equations I. We want to solve the equation: Where on the unit circle is the sine value - 1/2? But if we want ALL solutions we could go another.
CHAPTER 4 Trigonometric Functions. 4.1 Angles & Radian Measure Objectives –Recognize & use the vocabulary of angles –Use degree measure –Use radian measure.
Sec. 2.1 # 8, 19, 32, 38, Domain is all the x values and range is all the y values. DR Graph was not large enough for 16.
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