could someone help me get started please?
if x=1/2 and (x+1)(y+1)=2, find rad. meas of arctanx+arctany
if x=1/2 and (x+1)(y+1)=2, find rad. meas of arctanx+arctany
if x = 1/2 and (x + 1)(y + 1) = 2, find the radian measure of arctan (x) + arctan (y)
could someone help me get started please?
could someone help me get started please?
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Honeysuckle588
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Re: if x=1/2 and (x+1)(y+1)=2, find rad. meas of arctanx+arctany
Perhaps you should start by determining the value of y.
Re: if x=1/2 and (x+1)(y+1)=2, find rad. meas of arctanx+arctany
y = 1/3, but then what?
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stapel_eliz
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You have arctangents. These are equal to angles. For instance, arctan(x) = 
for some angle . Then \, =\, x)
. Note that you have a numerical value for x.
Pick an angle variable for arctan(y), and plug the sum of these two angles, being the sum of the arctangents, into the angle-sum formula for tangent. Simplify the result, and plug in values where you can. I haven't completed the computations, but I believe that this process should lead you to the answer.
Pick an angle variable for arctan(y), and plug the sum of these two angles, being the sum of the arctangents, into the angle-sum formula for tangent. Simplify the result, and plug in values where you can. I haven't completed the computations, but I believe that this process should lead you to the answer.
Re: if x=1/2 and (x+1)(y+1)=2, find rad. meas of arctanx+arctany
It simplified to (x+y)/(1-xy) which worked out right.
Thanks!
Thanks!