SOLUTION: If tan x=20/21, and, pi < x < 3pi/2 what is sin (x+pi/2) Enter your answer as a fraction in simplest form, like this: 3/14

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Question 1092900: If tan x=20/21, and, pi < x < 3pi/2 what is sin (x+pi/2)
Enter your answer as a fraction in simplest form, like this: 3/14

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Note that is in the 3rd quadrant, so actually


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The length of the rotating vector is:




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Since a general rule is:

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Note that if , then
is an angle in the 4th quadrant
where the sin function is negative

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