1 / 5

Mastering Right Triangle Trigonometry: Key Concepts and Ratios

Learn about right triangles, identifying sides, and calculating trigonometric ratios like sine, cosine, and tangent. Understand SOH-CAH-TOA rule for easy solutions.

elaina
Télécharger la présentation

Mastering Right Triangle Trigonometry: Key Concepts and Ratios

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1. Review Triangle Key Terms • A right triangle is any triangle with a right angle • The longest and diagonal side is the hypotenuse • The other two sides are the opposite side and adjacent side (means next to) • The labels depend on the reference angle

  2. 1. Identifying Sides of Right Triangle for a Reference Angle Ex 1: Reference Angle A; Identify the Sides (I DO) Reference Angle: A Hypotenuse: Adjacent Side: Opposite Side: AB Hypotenuse AC Opposite BC Adjacent B B Ex 2: Reference Angle B; Identify the Sides (WE DO) Reference Angle: B Hypotenuse: Adjacent Side: Opposite Side: AB Hypotenuse AC Adjacent BC C C A A Opposite

  3. 2. Finding the Value of Trigonometric Ratios • There are three main Trigonometric Ratios • SINE of an ANGLE = __OPPOSITE__ • HYPOTENUSE • COSINE of an ANGLE = ADJACENT__ • HYPOTENUSE • TANGENT of an ANGLE = __OPPOSITE__ • ADJACENT • Remember, SOH – CAH – TOA

  4. 2. Finding the Value of Trigonometric Ratios Ex 3: Find the Value of Sin A (I DO) Reference Angle: A Opposite=4; Hypotenuse=5 Sin A = Opp = 4 = 0.80 Hyp 5 Sin A = 0.80 Hyp. 5 Opp 4 3 FIRST, LABEL ALL SIDES! SOH CAH TOA Adj B B Ex 4: Find the Value of Cos A (WE DO) Reference Angle: A Adjacent; 3 Hypotenuse=5 Cos A = Adj = 3 = 0.60 Hyp 5 Cos A = 0.60 Hyp. 5 Opp 4 C C A A 3 Adj

  5. 2. Finding the Value of Trigonometric Ratios Ex 3: Find the Value of Cos B (WE DO) Reference Angle: B Opposite=4; Hypotenuse=5 Cos B = Adj = 4 = 0.80 Hyp 5 Cos B = 0.80 Hyp. 5 Adj 4 3 FIRST, LABEL ALL SIDES! SOH CAH TOA Opp B B Ex 4: Find the Value of Tan B (WE DO) Reference Angle: B Opposite=3; Adjacent=4 Tan B = Opp = 3 = 0.75 Adj 4 Tan B = 0.75 Hyp. 5 Adj 4 C C A A 3 Opp

More Related