# Having finished multiple exercise on sine, cosine and tangent, student will be able to answer 15 math problems on this contact with 85% accuracy.

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Having finished multiple exercise on sine, cosine and tangent, student will be able to answer 15 math problems on this contact with 85% accuracy.

Vocabulary: right triangle, ratio, angle, hypotenuse side, opposite side, and adjacent side

 Find the missing side( variable). Round to the nearest tenth. 1. 2. GUIDED PRACTICE PROVIDED  Find the measure of the indicated angle to the nearest degree 4. Find angle Y? 5. Find angle C? 17 x 59° 27° x 20 44 39 23 20 33 Y

INDEPENDENT PRACTICE 1. Find theta 2. What is the two different method of SOH-CAH-TOA to find the missing side( variable) by the two

 Example: what are the sine, cosine and tangent of 30° ?  The classic 30° triangle has a hypotenuse (the long side) of length 2, an opposite side of length 1 and an adjacent side of √3.

 These are the four steps we need to follow:  Step 1 Decide which two sides we know – out of Opposite, Adjacent and Hypotenuse.  Step 2 Use SOHCAHTOA to decide which one of Sine, Cosine or Tangent to use in this question.  Step 3 Use your calculator to calculate the fraction Opposite/Hypotenuse, Adjacent/Hypotenuse or Opposite/Adjacent.  Step 4 Find the angle from your calculator, using one of sin -1, cos -1 or tan -1 Step 1: The two sides we know are Opposite (300) and Adjacent (400). Step 2: SOHCAHTOA tells us we must use Tangent. Step 3: Use your calculator to calculate Opposite/Adjacent = 300/400 = 0.75 Step 4 : Find the angle from your calculator using tan-1 Tan x° = opposite/adjacent = 300/400 = 0.75 tan-1 of 0.75 = 36.9°.

 1) Find the value of and using a calculator round the answer to the nearest hundredth. HOMEWORK DIRECTIONS: READ EACH PROBLEM CAREFULLY AND MAKE SURE TO SHOW ALL WORK FOR FULL CREDIT. 27° x 20  2) Find the value of x and using a calculator round the answer to the nearest hundredth. x 24 36 Find each angle and measure to the nearest degree. 3) tan B = 0.6249

Worksheets, paper, pencils, calculators, protractors, PowerPoint Presentation and Chalk Board.

 Mathematical/logical – shows students how to solve SOH-CAH-TOA step by step.  Music – played a video on how to apply sine, cosine and tangent.  Interpersonal – group work  Bodily/kinesthetic – students moving around and post their answer on the board.

 Right Triangles and Trigonometry G-SRT  Define trigonometric ratios and solve problems involving right triangles 1.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. 2. Explain and use the relationship between the sine and cosine of complementary angles. 3. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. ★

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