S5_INT_1_11_Trigonometry - www.mathsrevision.com...

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Unformatted text preview: www.mathsrevision.com Trigonometr Trigonometr y y Let’s Investigate Extension The Tangent Ratio The Tangent Angle The Sine Ratio The Sine Angle The Cosine Ratio The Cosine Angle Mixed Problems www.mathsrevision.com www.mathsrevision.com Starter Questions Starter Questions www.mathsrevision.com 1. F in d t h e m is s in g v a lu e 2 . C a lc u la t e o f 6 0 0 0 3 . W h a t is t h e n e x t t h r e e n u m b e r s in t h e s e q u e n c e 9 , 15 , 2 1, 2 7 , ...., ...., .... 4 . R o u n d 7 2 t o t h e n e a r e s t 10 3 ? = 4 2 0 2 0 % www.mathsrevision.com www.mathsrevision.com Let’s Investigate! Let’s Investigate! Trigonometr Trigonometr y y www.mathsrevision.com Trigonometr Trigonometr y y Trigonometry means “triangle” and “measurement”. Adjacent Opposite x° x° h y p o t e n u s e We will be using right-angled triangles. www.mathsrevision.com Trigonometr Trigonometr y y 30° Adjacent Opposite h y p o t e n u s e Opposite Adjacent = 0.6 Mathemagic! www.mathsrevision.com Trigonometr Trigonometr y y 45° Adjacent Opposite h y p o t e n u s e Opposite Adjacent = 1 Try another! www.mathsrevision.com Trigonometr Trigonometr y y For an angle of 30°, Opposite Adjacent = 0.6 We write tan 30° = 0.6 Opposite Adjacent is called the tan gent of an angle. www.mathsrevision.com Trigonometr Trigonometr y y Tan 25 Tan 25 ° ° 0.466 0.466 Tan 26 Tan 26 ° ° 0.488 0.488 Tan 27 Tan 27 ° ° 0.510 0.510 Tan 28 Tan 28 ° ° 0.532 0.532 Tan 29 Tan 29 ° ° 0.554 0.554 Tan 30 Tan 30 ° ° 0.577 0.577 Tan 31 Tan 31 ° ° 0.601 0.601 Tan 32 Tan 32 ° ° 0.625 0.625 Tan 33 Tan 33 ° ° 0.649 0.649 Tan 34 Tan 34 ° ° 0.675 0.675 Tan 30° = 0.577 Accurate to 3 decimal places! The ancient Greeks discovered this and repeated this for possible angles. www.mathsrevision.com Trigonometr Trigonometr y y Now-a-days we can use calculators instead of tables to find the Tan of an angle. Tan On your calculator press Notice that your calculator is incredibly accurate!! Followed by 30 , and press = Accurate to 9 decimal places! www.mathsrevision.com Trigonometr Trigonometr y y What’s the point of all this??? Don’t worry, you’re about to find out! www.mathsrevision.com Trigonometr Trigonometr y y 12 m How high is the tower? Opp 60° www.mathsrevision.com Trigonometr Trigonometr y y 60° 12 m Adjacent Opposite h y p o t e n u s e Copy this! www.mathsrevision.com Trigonometr Trigonometr y y Tan x° = Opp Adj Tan 60° = Opp 12 = Opp 12 x Tan 60° Opp = 12 x Tan 60° = 20.8m (1 d.p.) Change side, change sign!...
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This note was uploaded on 02/13/2012 for the course MAT 205 math 205 taught by Professor Google during the Spring '10 term at University of Phoenix.

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S5_INT_1_11_Trigonometry - www.mathsrevision.com...

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