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Draw the angle in standard position 2 Draw the reference triangle and label the sides. Name: 3 Find the six trig ratios. 51 b. -
Draw the angle in standard position 2 Draw the reference triangle and label the sides. Name: 3 Find the six trig ratios. 51 b. - C . COS X = COS X = COS X = sin x = sin x = sin x = tan x = tan x = tan x = sec x = sec x = sec x = CSC X = CSC X = CSC X = cot x = cotx= cot x = d. It e. - 1 + COS X = COS X = COS X = sin x = sin x = sin x = tan x = tan x = tan x = sec x = sec x = sec x . = CSC X = CSC X = CSC X = cot x = cotx = cot x =s (in radians), for the same angle Now, split the top half of the unit circle up into 6 even pieces. a) What is each angle in degrees? b) What is each angle in radians? How do you know? 7. Split the entire unit circle up into the same size pieces as #6. Find and label each angle in radians. Write each of these values into your unit circle for the radians value of each angle.CW05 Degrees to Radians Name esLoc Today we are going to look at methods of finding the radians values that are on the unit circle. Remember that 27t radians is a full circle. 1. In the circle below, show the angle that is it radians by drawing the angle. 2. In the circle below, the same it radians has been split into 3 equal parts (so each is one third of the n radians) In this case, we split the 7 radians into thirds so each section is - ra is 3 radians. a) What is each section in degrees? How do you know? b) Label each angle (using radians) in the space below based on what fraction of the It radians it is. Teacher CheckS. Use the idea from the previous page, to find the values of the angles (in radians), for the same ang bottom of the unit circle: 4. We can also split the top half of the unit circle into 4 even pieces: a) Find the value of each angle below based on what fraction of it radians it is. Label it on the circle above. b) What angle is each section in degrees? 5. Use the process from #4 to find the same values on the bottom half of the unit circle
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