RIGHT TRIANGLE TRIGONOMETRY

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Presentation transcript:

RIGHT TRIANGLE TRIGONOMETRY

Right Triangles and Trigonometry Mathematics - Notes for Teachers Right Triangle Trigonometry Right Triangles and Trigonometry Hypotenuse Academic PowerPoint

Correctly identifying the sides Mathematics - Notes for Teachers Right Triangle Trigonometry Correctly identifying the sides 1. Identify the hypotenuse 2. Note the specified angle 3. Identify the side opposite this angle and label it opp 4. Label the third side as adjacent using adj hyp opp 35º adj Academic PowerPoint

Mathematics - Notes for Teachers Right Triangle Trigonometry Again 1. Identify the hypotenuse 2. Note the specified angle 3. Identify the side opposite this angle and label it opp 4. Label the third side as adjacent using adj 48º hyp adj opp Academic PowerPoint

Learn the trig ratios for right triangles Mathematics - Notes for Teachers Right Triangle Trigonometry Learn the trig ratios for right triangles Academic PowerPoint

Mathematics - Notes for Teachers Right Triangle Trigonometry Example Find the length of the side marked with the variable m Identify your sides Choose appropriate ratio Not required in this case hyp Substitute the known values 40 cm opp Multiply both sides by the denominator: 65º Use your calculator to evaluate m adj Academic PowerPoint

Mathematics - Notes for Teachers Right Triangle Trigonometry Try this one Find the length of the side marked with the variable p Identify your sides Choose appropriate ratio Substitute the known values hyp opp adj 18 cm p Multiply both sides by the denominator: Use your calculator to evaluate 57º Not required in this case Academic PowerPoint

Mathematics - Notes for Teachers Right Triangle Trigonometry Exercises Do questions 1 and 2 on your worksheet Academic PowerPoint

Mathematics - Notes for Teachers Right Triangle Trigonometry Another type Find the length of the side marked with the variable p Identify your sides Choose appropriate ratio Not required in this case 32º Substitute the known values hyp p Multiply both sides by the denominator: adj Divide both sides by tan 32 12 cm Use your calculator to evaluate opp Academic PowerPoint

Mathematics - Notes for Teachers Right Triangle Trigonometry Again Find the length of the side marked with the variable v Identify your sides Choose appropriate ratio Not required in this case Substitute the known values 25º hyp opp adj v Multiply both sides by the denominator: Divide both sides by sin 25 38 mm Use your calculator to evaluate Academic PowerPoint

Mathematics - Notes for Teachers Right Triangle Trigonometry Exercises Do questions 3 and 4 on your worksheet Academic PowerPoint

Mathematics - Notes for Teachers Right Triangle Trigonometry Finding an angle Choose appropriate trig ratio Identify sides Substitute in the known values hyp 56 Using the 2nd function (or inverse) button on your calculator x 40 adj Academic PowerPoint

Mathematics - Notes for Teachers Right Triangle Trigonometry Another example Choose appropriate trig ratio Identify sides Substitute in the known values x hyp 8.7 Using the 2nd function (or inverse) button on your calculator 2.6 opp Academic PowerPoint

Mathematics - Notes for Teachers Right Triangle Trigonometry Exercises Complete the worksheet Academic PowerPoint

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