Friday

April 18, 2014

April 18, 2014

Posted by **Christina** on Sunday, August 12, 2012 at 1:44pm.

For what value(s) of x does y have its maximum value?

For what value(s) of x does y have its minimum value?

For what value(s) of x does y=1?

- trig -
**Steve**, Sunday, August 12, 2012 at 1:58pmyou know that sin(x) has maximum value at x = pi/2. So, x - pi/3 = pi/2, or x = 5pi/6. However, that is not in the interval [0,2].

So, try x - pi/3 = -3pi/2. x = -7pi/6.

So, y does not achieve its maximum possible value over x in [0,2]. So, the max achieved in [0,2] occurs when x=2, and y = 2sin(2 - pi/3)

Similarly for the others.

**Related Questions**

Trigonometry - function y=4-2sin(2t+pi/2), where t is measured in radians. ...

trig - which of the following radian measures would be a soultion to 2sin^2 2x-1...

trig - 1. 3cot^2 (x) - 1 = 0 My answer: pi/3, 2pi/3, 4pi/3, 5pi/3 2. 4cos^2 (x...

trig - Graph y=-2sin(x/2-pi/2)+3

Trig - Find all of the solutions between 0 and 2pi: 2sin(x)^2 = 2 + cos(x)

trig 26 - simplify to a constant or trig func. 1. sec Ču-tan Ču/cos Čv+sin Čv ...

trig - What is the period, amplitude and phase shift for: y=2sin(3x-pi)

Math - Trig - Double Angles - Prove: sin2x / 1 - cos2x = cotx My Attempt: LS: = ...

Linear Algebra - Hello, I'm trying to find the Fourier Series of a function ...

Linear Algebra - Hello, I'm trying to find the Fourier Series of a function ...