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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 the arcsin(.3279) in both radians and degrees.

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**1) Sketch an angle of and then find its reference angle**

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

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Quiz 2) Find the supplementary angle to

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

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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 A The law of sines is still the same b c C a B

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

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

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**Area of Any Triangle Using Sines**

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 A Make sure the angle is between the two sides b c C Angle A is between b and c, Angle B is between a and c, Angle C is between a and b a B

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**Area of Any Triangle Using Sines**

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

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**Area of Any Triangle Using Sines**

Find the area A b = 23ft C = c C a = 14ft B

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**Area of Any Triangle Using Sines**

Find the area A b = 34ft C c = 18ft a A = B

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