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1. Review Triangle Key Terms

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. 1.

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1. Review Triangle Key Terms

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  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

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