Find cot x if sin x cot x csc x = sqrt2

The value of the cotangent of x i.e. cot x is:

Step-by-step explanation:

We are given a trignometric equation as follows:

Now as we know that the cosecant function is the reciprocal of the sine function.

i.e. we have:

Hence, we solve our given expression in order to get the value of the cotangent function.

As:

                        Hence, we get that:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.