Warm Up: Revision of Pythagoras and Trigonometry Fill in the gaps: trigonometry longest Trigonometric ratios Opp sin tan right-angled cos Adj Trigonometry - Triangles inverse square root SOH-CAH-TOA Pythagoras’ Theorem shortest triangles add subtract square hypotenuse Hyp Hyp longest hypotenuse square square root Pythagoras’ Theorem is normally only used in _____-______ __________. The ________ side of a triangle is always called the ______________. When I know the 2 ________ sides, and want to find the _______ side, I _______ them, and ___ them, before I then _______ ____. When I know a short side and the __________, and I want to find the other side, I ______ them and ________ them before I ________ _____. Sine, Cosine and Tangent are ________ ______. The phrase ___ ___ ___ helps us to remember which trigonometric ratio to use. If we have ____ and ____, we use ____. If we have ____ and ____, we use ____. If we have ____ and ____, we use ____. If I know 2 sides and want to find the other side, I use ____________ ________. If I know 2 sides and want to work out the angle, I use ____________. To find angles, we need to use the _______ of the trigonometric functions. If I know a side and an angle and want to work out the other side, I use ____________. When finding missing sides, __________ ________ help us know whether to multiply or divide. To summarise, if the problem involves angles, I use _____________. If it does not involve angles (only sides), I use ____________ ________.

Hand in completed Tangent Worksheets (peer marking) 22/11/2016

ANSWERS x =13.86 h =16 y=5.6 x=1.34 h=13.2 h=5.18 x=11.92 h=15.56

7/35 = 1/5 25/5 = 5 10/2 = 5 79 68 45 1 1 5 x x x 5 2 1 y y 4 11.2 63 37 27 53

Pythagoras E.g. 10²= x²+ 8² x = = V36 = 6 a c 10 8 b a² = b² +c² x

Trigonometry SOHCAHTOA x 6 3 x H O A H H O A 10 Finding Sides Cos x = Finding Angles Finding Sides 6 10 3 H H O x 50 A Sin x = X = sin–1(3/6) =sin–1(0.5) =30º Cos x = Cos 50º = X = 10 cos 50º = 6.4cm Remember: Make sure your calculator is in DEG

***Geometry and Trigonometry Unit Test Tomorrow!!!*** Trigonometry Review Worksheet ***Geometry and Trigonometry Unit Test Tomorrow!!!*** 22/11/2016