Find the exact value of the expression. sin(cos^-1(5/6)-tan^-1(1/4)).

Step-by-step explanation:

Given the expression sin(cos^-1(5/6)-tan^-1(1/4)), to find the exact value of the expression, we need to first calculate the value in parenthesis i.e

cos^-1(5/6)-tan^-1(1/4)

= cos^-1(5/6)-tan^-1(1/4)

= cos^-1(0.8333)-tan^-1(0.250)

= 33.56 - 14.04

= 19.52

sin(cos^-1(5/6)-tan^-1(1/4)) = sin(19.52)

sin(19.52) = 0.3342

Hence the value of the expression sin(cos^-1(5/6)-tan^-1(1/4)). is 0.3342

Given:

The graph of a line.

To find:

The equation for the given line.

Solution:

If a line passes through two points, then the equation of the line is:

From the given graph it is clear that the line passes through the points (-1.5,0) and (0,1). So, the equation of the line is:

Therefore, the equation of the given line is .