Activity 2: What Makes You Special? 1. Given the angles of the triangles below, find the values of the six trigonometric ratios. Then answer the questi follow. Let a be the leg of a 45° - 45°- 90° Triangle. Let a be the shorter leg of a 30 – 60° - 90° Triangle. 45 2a 60 30 45 sin 45° = sec 45°= sin 30° = sec 30: cos 45° = cos 30e
Activity 2: What Makes You Special? 1. Given the angles of the triangles below, find the values of the six trigonometric ratios. Then answer the questi follow. Let a be the leg of a 45° - 45°- 90° Triangle. Let a be the shorter leg of a 30 – 60° - 90° Triangle. 45 2a 60 30 45 sin 45° = sec 45°= sin 30° = sec 30: cos 45° = cos 30e
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 96E
Related questions
Question
Activity 2. Please Answer All
![will carry the same letter syn
. the side opposite ZA is a
I that:
rimary functions:
opposite
Sine
sin x=
hypotenuse
adjacent
Cosine
cos x =
hypotenuse
opposite
adjacent
Tangent tan x =
In the following table, note how each function is the reciprocal of one of the basic functions sin, cos, tan.
hypotenuse
1
Cosecant csc x =
cse x =
sin x
hypotenuse
soddo
1
Secant
sec x =
sec x =
coS X
adjacent
adjacent
1
cot x =
Cotangent cot x =
opposite
tanx
SOH-CAH-TOА
→ is a mnemonic used for remembering the equations.
→ these 9 letters are a memory aid to remember the ratios for the three primary functions - sin, cos and tan.
» pronounced a bit like "soka towa".
- their ratios are constant because the functions are a ratio of two side lengths so they always produce the
same result for a given angle, regardless of the size of the triangle.
Activity 2: What Makes You Special?
1. Given the angles of the triangles below, find the values of the six trigonometric ratios. Then answer the questions that
follow.
Let a be the leg of a 45° – 45° - 90°
Triangle.
Let a be the shorter leg of a 30° – 60° – 90º
Triangle.
45"
2a
60
a
30
45
sin 45° =
sec 45° =
sin 30° =
sec 30° =
cos 45° =
csc 45°=
cos 30° =
csc 30° =
tan 45° =
cot 45° =
tan 30° =
cot 30°=
3
2022/05/15 19:32](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe26e177b-507f-4ad5-8d3d-d70378c570e6%2F6d934d19-c6c9-4df4-80a9-252b2b6cbb6f%2Fxgfkeja_processed.jpeg&w=3840&q=75)
Transcribed Image Text:will carry the same letter syn
. the side opposite ZA is a
I that:
rimary functions:
opposite
Sine
sin x=
hypotenuse
adjacent
Cosine
cos x =
hypotenuse
opposite
adjacent
Tangent tan x =
In the following table, note how each function is the reciprocal of one of the basic functions sin, cos, tan.
hypotenuse
1
Cosecant csc x =
cse x =
sin x
hypotenuse
soddo
1
Secant
sec x =
sec x =
coS X
adjacent
adjacent
1
cot x =
Cotangent cot x =
opposite
tanx
SOH-CAH-TOА
→ is a mnemonic used for remembering the equations.
→ these 9 letters are a memory aid to remember the ratios for the three primary functions - sin, cos and tan.
» pronounced a bit like "soka towa".
- their ratios are constant because the functions are a ratio of two side lengths so they always produce the
same result for a given angle, regardless of the size of the triangle.
Activity 2: What Makes You Special?
1. Given the angles of the triangles below, find the values of the six trigonometric ratios. Then answer the questions that
follow.
Let a be the leg of a 45° – 45° - 90°
Triangle.
Let a be the shorter leg of a 30° – 60° – 90º
Triangle.
45"
2a
60
a
30
45
sin 45° =
sec 45° =
sin 30° =
sec 30° =
cos 45° =
csc 45°=
cos 30° =
csc 30° =
tan 45° =
cot 45° =
tan 30° =
cot 30°=
3
2022/05/15 19:32
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