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Quiz 1) Sketch an angle of and then find its reference angle 2) Find the supplementary angle to 3) Find the arccos( ) in both radians and degrees. 4) Find.

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Presentation on theme: "Quiz 1) Sketch an angle of and then find its reference angle 2) Find the supplementary angle to 3) Find the arccos( ) in both radians and degrees. 4) Find."— Presentation transcript:

1 Quiz 1) Sketch an angle of and then find its reference angle 2) Find the supplementary angle to 3) Find the arccos( ) in both radians and degrees. 4) Find the arcsin(.3279) in both radians and degrees.

2 Quiz 1) Sketch an angle of and then find its reference angle x y Since it is 180º half way around the reference angle is 180 – 125 = 55º 7/3 = which means that it goes all the way around and ends up in he first quadrant

3 Quiz 2) Find the supplementary angle to

4 Quiz 3) Find the arccos( ) in both radians and degrees. 4) Find the arcsin(.3279) in both radians and degrees. arccos( ) = Because the cos(30) = and the cos( ) = arcsin(.3279) = Because the sin of either one =.3279 if you are in the right mode

5 Law of Sines - Radians Nothing changes when the angles are shown in radians – you just need to make certain your calculator is in radian mode The law of sines is still the same A C B a b c

6 Law of Sines A C B a b = 32ft c Find side c C = B = Now we cross multiply – make sure the calculator is in radian mode when taking the sin

7 Law of Sines A C B b = 23ft c Find angle B A = Now we cross multiply a = 14ft Now we simply do 2 nd sin (.7128) to get the angle

8 We can find the area of any triangle using two of the sides and the sine of the angle that is between the two sides Make sure the angle is between the two sides A C B a b c Area of Any Triangle Using Sines Angle A is between b and c, Angle B is between a and c, Angle C is between a and b

9 The formula is easy to use – just be sure that your calculator is in the proper mode A C B a b c Area of Any Triangle Using Sines In general its ½(two of the sides)(sin of the angle between them)

10 Area of Any Triangle Using Sines A C B b = 23ft c Find the area C = a = 14ft

11 Area of Any Triangle Using Sines A C B b = 34ft c = 18ft Find the area A = a


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