Trigonometric Relationships
Today you will need:
Grab a warm-up from the wooden desk and get started!
Goals:
Warm-up #1
Warm-up #1 KEY
The opposite side from the reference angle.
This helps us identify the trig relationship that’s needed!
opposite side
opposite
opposite
adjacent
adjacent
hypotenuse
hypotenuse
Warm-up #2
Warm-up #2
KEY
x = 3.5
x = 7.52
x = 40
x = 20
x = 7.52
x = 40
opposite
adjacent
hypotenuse
adjacent
SOH CAH TOA
Trigonometry
Reference Angle
What do you notice?
Do you think this will ALWAYS hold true?
IXL.com
Trig Ratios: Sin, Cos, and Tan (VLY)
Trig Ratios with Radicals: Sin, Cos, Tan (D5Z)
Trig Ratios: Find a side length (UZC)
Sine and Cosine of complementary angles (KMH)
Practice Day
Today you will need:
Grab a warm-up from the wooden desk
Goals:
Warm-up #1
Find the value of x. Round your answer to the nearest tenth.
Warm-up #2
Find the value of x. Round your answer to the nearest tenth.
Warm-up #2
The following is a list of conjectures made by students about right triangles and trigonometric relationships. For each, state whether you think the conjecture is true or false. Justify your answer.
IXL.com
Trig Ratios: Sin, Cos, and Tan (VLY)
Trig Ratios with Radicals: Sin, Cos, Tan (D5Z)
Trig Ratios: Find a side length (UZC)
Sine and Cosine of complementary angles (KMH)
IXL.com
Log on to IXL.com and complete the following:
D5Z
UZC
Want some extra practice with special right triangles?
LDM
Independent Practice
G14: Triangles 2 | |
Skills | Video Links |
Simple Proportions | |
Measuring Triangle Sides and Angles | |
Angle Side Relationship | |
Identify Triangles of a Given Type | |
Properties of Isosceles Triangles | |
Sides of Right Triangles | |
Ratios of Special Triangles | |
Right Triangle Proportions | |
Measure Sides with a Ruler and the Pythagorean Theorem | |
Identifying Trig Ratios | |
Identifying Trig Ratios (timed) | |
Resources
Mod 6 Standards
G.SRT.4 Prove and apply theorems about triangles. Theorems include but are not restricted to the following: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to justify relationships in geometric figures that can be decomposed into triangles.
G.SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles.
G.SRT.8 Solve problems involving right triangles�a. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems if one of the two acute angles and a side length is given.