Question

find the angle between the pair of lines whose slopes are 1/root3 and 1​

Answer 1

Answer:

Step-by-step explanation:

In one tantheta=1/√3. So theta=π/6

Second one, tantheta=1 theta=π/4

(With origin acw)

So angle brw them=π/4-π/6=π/12

Answer 2

The angle between the lines is 15°

Step-by-step explanation:

We have been given that

$m_1=\frac{1}{\sqrt3}\\\\m_2=1$

Angle between two lines is given by

$\theta=\tan^{-1}|\frac{m_2-m_1}{1+m_1m_2}|$

Substituting the known values

$\theta=\tan^{-1}|\frac{\frac{1}{\sqrt3}-1}{1+\frac{1}{\sqrt3}\cdot1}|\\\\\theta=\tan^{-1}(\frac{1-\sqrt3}{1+\sqrt3})\\\\\theta=15^{\circ}$

The angle between the lines is 15°

#Learn More:

Find the angle between the pairs of lines with direction ratios proportional to a,b,c and (b-c) , (c-a) , (a-b)

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