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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
Review of Trig Ratios 1. Review Triangle Key Terms A right triangle is any triangle with a right angle The longest and diagonal side is the hypotenuse.
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Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –
TRIGONOMETRY Find trigonometric ratios using right triangles Solve problems using trigonometric ratios Sextant.
8-3 TRIGONOMETRY DAY 2. RECALL: Trigonometric Ratios (don’t need to write) SOH – CAH – TOA.
Trigonometry Review of Pythagorean Theorem Sine, Cosine, & Tangent Functions Laws of Cosines & Sines.
Notes Chapter 8.3 Trigonometry A trigonometric ratio is a ratio of the side lengths of a right triangle. The trigonometric ratios are: Sine: opposite.
Trigonometry functions and Right Triangles First of all, think of a trigonometry function as you would any general function. That is, a value goes in and.
Notes - Trigonometry *I can solve right triangles in real world situations using sine, cosine and tangent. *I can solve right triangles in real world situations.
Sine, Cosine, Tangent, The Height Problem. In Trigonometry, we have some basic trigonometric functions that we will use throughout the course and explore.
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Special Right Triangles Definition and use. The Triangle Definition There are many right angle triangles. Today we are most interested in right.
2/10/2016Basic Trig Basic Trigonometry. 2/10/2016Basic TrigDefinitions Trigonometry – The area of math that compares the lengths of the sides of a triangle.
Unit 7: Right Triangle Trigonometry Hypotenuse Adjacent Leg Opposite Leg SOH: CAH: TOA: “SOH” – “CAH” – “TOA” Standard Trig Functions Reciprocal Trig Functions.
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5.13 Solving Triangles with Trigonometry #(1,2,4,8,11,15)
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Geometry Trigonometry. Learning Outcomes I will be able to set up all trigonometric ratios for a right triangle. I will be able to set up all trigonometric.
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Geometry Chapter 8. We are familiar with the Pythagorean Theorem:
Trigonometric Ratios A RATIO is a comparison of two numbers. For example; boys to girls cats : dogs right : wrong. In Trigonometry, the comparison is between.
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Trigonometry Chapter 7. Review of right triangle relationships Right triangles have very specific relationships. We have learned about the Pythagorean.
8-3 Trigonometry Part 2: Inverse Trigonometric Functions.
Introduction to Trigonometry Right Triangle Trigonometry.
4.7 Inverse Trig Functions. By the end of today, we will learn about….. Inverse Sine Function Inverse Cosine and Tangent Functions Composing Trigonometric.
The Trigonometric Functions SINE COSINE TANGENT. SINE Pronounced “sign”
Trigonometry Ratios. Example 1 Write the Trig Ratio for each of the following ( soh, cah, toa)
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.
8.4 Trigonometric Ratios. The word trigonometry comes from two Greek terms, trigon (triangle) and metron (measure). A trigonometric ratio is a ratio.
Lesson 13.1Right Triangle Trigonometry Hypotenuse Adjacent Leg Opposite Leg SOH CAH TOA.
7.5 & 7.6– Apply the Sin-Cos-Tan Ratios. Hypotenuse: Opposite side: Adjacent side: Side opposite the reference angle Side opposite the right angle Side.
Bell Work Find all coterminal angles with 125° Find a positive and a negative coterminal angle with 315°. Give the reference angle for 212°.
7.7– Solve Right Triangles. Inverse Trig Ratios: To find the measure of an angle, take the inverse of the trig function. sin A° = sin A° = 0.7 A°
8-3: Trigonometry Objectives To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles To use the sine,
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