- #1
adjacent
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Homework Statement
Find the angle between two straight lines,##y=x## and ##y=2x##.
Find the general formula for finding the angles.
Homework Equations
##f(x)=mx+c##
##\tan(\theta)=\frac{opposite}{adjacent}##
The Attempt at a Solution
First I assign a value for x and calculate the value for y.Using the tan rule,I can find the angle(β) between the line y=x and x-axis.
Again repeat the same with y=2x and find the angle(∑).The angle between y=2x and y=x is ∑-β.
First I plugged in a number into the function.
Then the resulting value becomes the opposite and the x becomes the adjacent .
So I get $$\tan^{-1} \left( \frac{f(n)}{n} \right) - \tan^{-1} \left( \frac{g(n)}{n} \right)$$.
Where n is any number.f is the function of the line with the greater slope.g is the function of the line with the lower slope.
Is this correct? I am really worried about the terminology.