Question
y=tanx y=cosx y=-lanx d. y=-cotx 2. (1 point) The first minimum along positive x-axis of y=2cos(3x) a. x=90^circ x=60^circ c. x=0^circ x x=180^circ
Solution
4.2
(291 Votes)
Maia
Master ยท Tutor for 5 years
Answer
### B.
Explanation
## Step 1: Analyze the given functions and identify the first minimum along the positive x-axis.### We are looking for the smallest positive value of
for which
reaches its minimum value. The minimum value of the cosine function is -1. Therefore, we need to find the smallest positive
such that
.## Step 2: Determine the general solution for the cosine function equal to -1.### The cosine function equals -1 at angles of the form
, where
is an integer. So, we have
.## Step 3: Solve for x and find the smallest positive solution.### Dividing both sides by 3, we get
. For
, we have
. Converting to degrees,
.