1. ## if tanx + tany = 25 and cotx + coty =30, what is tan(x+y)...please help with this que

i have no idea how to do this....

2. ## Re: if tanx + tany = 25 and cotx + coty =30, what is tan(x+y)...please help with this

A good place to begin is to look at the angle sum identity for the tangent function:

$\tan(\alpha+\beta)=\frac{\tan(\alpha)+\tan(\beta)} {1-\tan(\alpha)\tan(\beta)}$

Now we can see we have the numerator taken care of, so let's see if we can get what we need for the denominator from the given equation involving the cotangent function:

$\cot(x)+\cot(y)=\frac{1}{\tan(x)}+\frac{1}{\tan(y) }=\frac{\tan(x)+\tan(y)}{\tan(x)\tan(y)}$

Now we can get what we need, do you see how to proceed?

3. ## Re: if tanx + tany = 25 and cotx + coty =30, what is tan(x+y)...please help with this

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### tanx tany= 25 cotx coty= 30

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