Right-triangle relationships: ?Draw a right triangle to simplify the given expression As?sume x> 0 ?and 0? ????/2. cot??1 (tan??)

Step-by-step solution Step 1 We need to draw a right triangle and use right triangle relationships to simplify 1 the expression cot (tan()) assuming x > 0 and 0 . 2 Step 2 To simplify the expression, we first draw a right triangle with an angles and , such that: 1 = cot (tan ) [1] cot = tan We know from right triangle relationships that: opp tan = adj and adj cot = opp From these, we can conclude that and are complementary angles, as illustrated below: tan = opp = B adj A adj cot = opp = A