Question 1160136

Use the given information to determine the values of sine 2 theta​, cosine 2 theta, and tangent 2 theta.
cos theta=8/17; The terminal side of theta lies in quadrant IV.
<pre>I do believe you need the EXACT values.
First, this is an 8-15-17 PYTHAG TRIPLE. Therefore, based on the fact that theta is in Quadrant IV, and that: {{{matrix(1,7, cos (theta), "=", A/H, "=", 8/17, "=", x/r)}}} we get: {{{system(matrix(1,7, sin (theta), "=", O/H, "=", (- y)/r, "=", (- 15)/17), and, matrix(1,7, tan (theta), "=", O/A, "=", (- y)/x, "=", (- 15)/8)))}}}
Now, I can't determine if you want: {{{matrix(3,3, sin (2theta), or, sin^2 (theta), cos (2theta), or, cos^2 (theta), tan (2theta), or, tan^2 (theta))}}}