Question 1174583

If sin θ=3/7, sec θ < 0; tan θ. Find the value of the indicated function.
<pre>{{{matrix(1,7, sin (theta), "=", 3/7, "=", O/H, "=", y/r)}}}
Given that sin θ > 0, and sec/cos θ < 0, 0 is found in Quadrant 2. 
We then have: {{{matrix(5,3, x^2, "=", r^2 - y^2, x^2, "=", 7^2 - 3^2, x, "=", sqrt(7^2 - 3^2), x, "=", sqrt(40), x, "=", 2sqrt(10))}}} 
{{{highlight_green(matrix(1,9, tan (theta), "=", O/A, "=", y/x, "=", 3/(2sqrt(10)), "=", highlight(3sqrt(10)/20)))}}}