Question

MATHEMATICS :SINGLE CORRECT ANSWER (+3,-1)
If tan a + tan ß = 25 and
+
cot a +cot ß = 30, then tan (a +ß )
(A) 150
(B) 200
(C) 250
(D) 100
​

Answer 1

Step-by-step explanation:

tan a + tan b = 25 ...(Given)

Now,

cot a + cot b = 1/tan a + 1/tan b =(tan a + tan b)/tan a.tan b

= 30

So,

25/tan a.tan b = 30

tan a.tan b = 25/30= 5/6

Now,

tan(a+b) =( tan a + tan b )/(1-tan a.tan b)

Substituting values,

tan(a+b) = 25/(1-5/6) = 25/1/6 = 25×6 = 150

Answer 2

Answer:

A) 150

Step-by-step explanation:

Hope this will help u

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