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## Quiz

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**Quiz**1) Sketch an angle of 125º and then find its reference angle 2) Sketch an angle of and then find its reference angle 3) Find the complimentary angle to**Quiz**1) Sketch an angle of 125º and then find its reference angle y 125º x Since it is 180º half way around the reference angle is 180 – 125 = 55º**Sketching Angles and Reference Angles**2) Sketch an angle of and then find its reference angle 5/4 = 1.2 2nd quadrant y x Since it is half way around the reference angle is**Quiz**3) Find the complimentary angle to**Finding sin, cos, and tan**1) Find the tan( ) This is not a special angle so we use the calculator – make sure it is in radians Round the answer to 4 decimal places**Inverse Trig Functions**1) Find the arctan( ) This question is asking us what angle has a tan = Look in our notes to find out that 30º has a tan =**Inverse Trig Functions**1) Find the arctan(.7638) This question is asking us what angle has a tan = .7638 Since this is not a special angle we use are calculator – 2nd tan to get:**Law of Sines**Given a triangle with a combination of sides and angles we can use the law of sines to find the missing angles or sides A First we have to understand how to label the vertices and sides b c C The names of the vertices are given to you normally – the sides across from a vertex is labeled with a lower case letter a B**Law of Sines**We use the law of sines ratio to find missing sides/angles A b We plug in the information that we are given and find what we are asked to find. c C a We will only use 2 parts at a time – not all 3 B**Law of Sines**Find side c Now we cross multiply – make sure the calculator is in degree mode when taking the sin A b = 27ft c C B = 50º a C = 28º B**Law of Sines**Find angle B Now we cross multiply A b = 12ft A = 42º c C a = 22ft Now we simply do 2nd sin (.3650) to get the angle B