Question

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

Answer 1

Answer:75°

Step-by-step explanation:

Given that m1=√3 and m2=-1

Now we know that,

Tan(A)= mod of {(m2-m1)/1+m1*m2}

Or, Tan(A)={(-1-√3)/1-√3}

Or, TanA=-{1+√3/1-√3}

Or, tanA=-{(1+√3)^2/1-3}

Or, TanA=-{1+3+2√3/-2}

Or, TanA=(4+2√3)/2=(2+√3)

Or,A= Tan inverse (2+√3)

Therefore A=75°