11.6: Sine, Cosine, Tangent
Upcoming SlideShare
Loading in...5
×
 

11.6: Sine, Cosine, Tangent

on

  • 19,475 views

Chapter 11, Section 6: Sine, Cosine, and Tangent. Basic Trig ratios.

Chapter 11, Section 6: Sine, Cosine, and Tangent. Basic Trig ratios.

Statistics

Views

Total Views
19,475
Views on SlideShare
10,393
Embed Views
9,082

Actions

Likes
1
Downloads
81
Comments
0

6 Embeds 9,082

http://ncvps.blackboard.com 9045
http://www.slideshare.net 28
http://ncvps.blackboard.net 6
http://msdhpowerpoints.blogspot.com 1
http://translate.googleusercontent.com 1
http://www.docseek.net 1

Accessibility

Upload Details

Uploaded via as Microsoft PowerPoint

Usage Rights

© All Rights Reserved

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Processing…
Post Comment
Edit your comment

11.6: Sine, Cosine, Tangent 11.6: Sine, Cosine, Tangent Presentation Transcript

  • Review/Practice Trig Ratios Chapter 11 Section 6
  • What is the mnemonic devise that helps us remember the three basic trig ratios? SOH CAH TOA
  • What is the definition of the sine ratio? opposite leg sin A = hypotenuse
  • What is the definition of the cosine ratio? adjacent leg cos A = hypotenuse
  • What is the definition of the tangent ratio? opposite leg tan A = adjacent leg
  • What trigonometric ratio is needed to solve for x? x 15° 19 opposite leg tan A = adjacent leg
  • What trigonometric ratio is needed to solve for x? x 38° opposite leg 4.6 sin A = hypotenuse
  • What trigonometric ratio is needed to solve for x? x 52° 4.6 adjacent leg cos A = hypotenuse
  • Finding the Decimal or the Degree If you have a decimal and need the degree use INVERSE. Sin(-1), Cos(-1), Tan(-1) If you have a degree and need the decimal use the STANDARD. Sin, Cos, Tan
  • Find the angle whose tangent is approximately .3057 and round to the nearest degree. 17°
  • Find the angle whose sine is approximately .7986 and round to the nearest degree. 53°
  • Find the angle whose cosine is approximately .1564 and round to the nearest degree. 81°
  • Find the sine of 38 round o to four decimal places. .6157
  • Find the tangent of 80 o round to four decimal places. 5.6713
  • Find the cosine of 10 o round to four decimal places. .9848
  • Identify the trig function needed to solve: x cosine 41° 18
  • Show the evaluation needed to solve: x cos 41 18 41° = 1 x 18
  • Solve for x: cos 41 18 = 1 x x cos 41( x) = 18 41° 18 18 x= cos 41 x ≈ 23.85
  • Identify the trig function needed to solve: 68° x tangent 24
  • Show the evaluation needed to solve: 68° x tan 68 24 = 1 x 24
  • Solve for x: tan 68 24 = 1 x x 68° tan 68( x) = 24 24 24 x= tan 68 x ≈ 9.7
  • Identify the trig function needed to solve: 18.7 x sine 80°
  • Show the evaluation needed to solve: 18.7 x sin 80 x = 1 18.7 80°
  • Solve for x: sin 80 x = 1 18.7 18.7 x sin 80(18.7) = x 80° 18.42 ≈ x
  • Identify the trig function needed to solve: 8.1 cosine x° 3.5
  • Show the evaluation needed to solve: 8.1 3.5 cos x = 8.1 x° 3.5
  • Solve for x: 3.5 cos x = 8.1 8.1 −1 cos (3.5 / 8.1) = x x° 64.4° ≈ x 3.5
  • Identify the trig function needed to solve: x° 5.3 tangent 5.9
  • Show the evaluation needed to solve: x° 5.3 5.9 tan x = 5.3 5.9
  • Solve for x: 5.9 tan x = x° 5.3 5.3 −1 tan (5.9 / 5.3) = x 48° ≈ x 5.9
  • Finished! Finished! Finished! Be sure to know all of this for your test!