Question

find the slope of the line joining the points (0, sin) (cos,o)​

Answer 1

Question

Find the slope of the line joining the points (0,sin∅) and (cos∅,0)

Solution

Let the given points be A(0,sin x) and B(cos x,0)

To find

Slope of the line joining AB

Let m be the slope of the line

Generally slope of a line is given as,

$\large{ \boxed{\boxed{\sf{m = \dfrac{ {y}_{2} - {y}_{1} }{ {x}_{2} - {x}_{1}}}}}}$

Putting the values,we get :

$\large{ \sf{m = \dfrac{0 - sin \: x}{cos \: x - 0} }} \\ \\ \large{ \implies \: \sf{m = - \dfrac{sin \: x}{cos \: x} }} \\ \\ \large{ \implies \: \boxed{ \boxed{ \sf{ \green{m = - tan \: x}}}}}$

The slope of the line joining points A and B is - tan x

Answer 2

Answer:

slope (m) = tan

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

=(0-sin) /(cos-0)

=sin /cos

=tan

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