What is the relation between the sine and cosine values of angles in each quadrant? How would you use the 60° angle to find sine and cosine of 120°, 240°, and 300°? What angles could we find sine and cosine for using information for π/4 and π/6?

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Josephine Medina

Mathematics

2 May, 23:11

What is the relation between the sine and cosine values of angles in each quadrant? How would you use the 60° angle to find sine and cosine of 120°, 240°, and 300°? What angles could we find sine and cosine for using information for π/4 and π/6?

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Keenan · Answer 1

The sine, cosine, and tangent of 60 deg. is the same as 120, 240, and 300. 30 deg, 45 deg, and 60 deg. can each be matched to other counter parts across the quadrants. The only ones that have their own sin, cos, and tan are 90, 180, 270, and 360. The pi over 4 is a radian and can be found using an equation = π/4*180/π The two πs will cancel out and you are left with 180/4 which will give you the degrees. You would do the same equation for the π/6. This can also be used in reverse and you can find the radian using the degrees. Just multiply the degrees by pi/180 and then find a common multiple to reduce the fraction/radian down. pi will stay in your answe