SOLUTION: Please help! The expression 3 sin 1/2x reaches its maximum value when x, expressed in radians, equals a) pie b) 3 c) pie/2 d) 3/2 Thanks

Algebra.Com
Question 388644: Please help!
The expression 3 sin 1/2x reaches its maximum value when x, expressed in radians, equals
a) pie
b) 3
c) pie/2
d) 3/2
Thanks

Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The expression 3 sin 1/2x reaches its maximum value when x, expressed in radians, equals
a) pie
b) 3
c) pie/2
d) 3/2
---
Since the sin ranges from -1 to +1,
3 sin ranges from -3 to +3.
----
Ans: 3
============
Cheers,
Stan H.
============

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The expression 3 sin 1/2x reaches its maximum value when x, expressed in radians, equals
pi radians. The max value is +3.
Pi is the principal solution. The max of +3 occurs at
x = pi + n*4pi, n = 0,1,2,3,...
--------------------------------------
Not pie, the dessert, pi, the Greek letter.

RELATED QUESTIONS

The value of cos pie/3 - sin 3pie/2 is a)1 1/2 b)1/2 c)-1 1/2 d)- 1/2 Thanks... (answered by Alan3354)
find the exact value of the expression... (answered by checkley77,jim_thompson5910)
What is the smallest positive value for s where y=sin2x reaches its maximum? a. pie... (answered by Alan3354)
Find all solutions in [0,2pie) {{{ Sin(2t) - Sin(t)= 0 }}} a)0, pie /2, 3pie /2... (answered by Alan3354)
These are very confusing for me. Here are a couple, I hope to use these examples to help (answered by stanbon)
The one pair which is the measure of the same angle is. a. 90 degrees,pie/4 b. 1... (answered by Alan3354)
Solve exactly for 0≤x≤2pie. √3 tanx-1=0 A. pie/6, 7pie/6 B. pie/3, (answered by stanbon)
1) a) write 1/x-3 - 1/x as single fraction in its simplest form b) use your answer to... (answered by Alan3354)
Find the exact value of the expression. 2sec-pie/3 cos pie/3 -tan pie/6 (answered by stanbon)