If tanx = 2/3 tany = 1/2
then tan(x-y) = ??
a.7/4
b.7/6
c.1/8
d.8/6
which answer is correct ??
tan(a-b) = [ tan a - tan b)/(1 + tan a tan b)
You better learn those trig identities.
The answer is 1/8
Is that correct Damon ?
Yes, correct
(a) 7/4
To find the value of tan(x-y), we can use the trigonometric identity: tan(x-y) = (tanx - tany) / (1 + tanx * tany).
Given that tanx = 2/3 and tany = 1/2, we can substitute these values into the trigonometric identity:
tan(x-y) = ((2/3) - (1/2)) / (1 + (2/3) * (1/2))
= (4/6 - 3/6) / (1 + (2/6))
= 1/6 / (1 + 1/3)
= 1/6 / (4/3)
= 1/6 * (3/4)
= 3/24
= 1/8
Therefore, the correct answer is c. 1/8.