Right-triangle relationships: ?Draw a right triangle to simplify the given expression Assume x?> 0 ?and 0 ????/?2. sin(cos?1 (?x/? ))

Step-by-step solution 39RE Step 1 We need to draw a right triangle and use right triangle relationships to simplify the expression sin (cos ( )) assuming x > 0 and 0 . 2 2 Step 2 To simplify the expression, we first draw a right triangle with an angle , such that: 1 x = cos (2) [1] cos = x 2 We know from right triangle relationships that: cos = adj hyp Since: cos = x 2 We know now that: adj = x, hyp = 2 The resulting right triangle is shown below: