Posted by **deepak** on Tuesday, May 24, 2011 at 5:01am.

find the maximum value of √3 cosθ-sinθ.???

- mathematics -
**drwls**, Tuesday, May 24, 2011 at 5:37am
You get a maximum when the derivative is zero.

-ã3 sin ƒÆ -cos ƒÆ = 0

tan ƒÆ = -1/ã3

ƒÆ = -30 degrees

ã3 cosƒÆ-sinƒÆ = 3/2 + 1/2 = 2

check: If theta = -29 degrees,

ã3 cosƒÆ-sinƒÆ = 1.5149 + 0.4848 = 1.9997

If theta = -31 degrees,

ã3 cosƒÆ-sinƒÆ = 1.4847 + 0.5150 = 1.9997

So it looks like the maximum is 2.

## Answer This Question

## Related Questions

- math trigono - 1. If tanθ = –√3 , what is the value of cot ? 2. ...
- Math - Calculus - The identity below is significant because it relates 3 ...
- trig - An object Is propelled upward at an angle θ, 45° < θ<90...
- Physics - We have a qubit in the state |ψ>= √3/2 |0>+ 1/2 |1>...
- Quantum Physics - We have a qubit in the state |ψ>= √3/2 |0>+ 1...
- Pre-Calculus - If θ represents an angle such that sin2θ = tanθ - ...
- Trigonometry - There are four complex fourth roots to the number 4−4√...
- trigonometry - if cosθ=2/3 and tanθ<0 find the exact value sin(&#...
- math - if cosθ=2/3 and tanθ<0 find the exact value sin(θ-5&#...
- Math (Trigonometry) - θ is an acute angle such that tan(θ)=1/4. What ...

More Related Questions