3 years ago

Solve : cos X + sin X = 0 Pls all answers in radians thanks

1 answer:

4 0

<span>cos (X) + sin (X) = 0

Subtract cos(x) from each side:

sin(x) = -cos(x)

Divide each side by cos(x) :

sin(x) / cos(x) = -1

But sin/cos = tangent

<em>tan(x) = -1</em>

x = 135° and 315°

x = 3/4 pi radians and 7/4 pi radians
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Write an equation of the line that is perpendicular to 3x + 9y = 7 and passes through the point (6, 4)

andrezito [222]

The perpendicular line will have the x and y coefficients swapped and one of them negated. We can write the desired line as
9(x -6) -3(y -4) = 0
where the coordinates of the point of interest are (6, 4).
Dividing by 3, this is
3(x -6) -(y -4) = 0
3x -y = 14

An equation for the line of interest is ...
3x -y = 14