Homework Help: Calculus

Posted by Lisa on Tuesday, January 15, 2013 at 2:38pm.

Use a trig identity to combine two functions into one so you can solve for x. (The solution should be valid for any value of t).

3cos(t) + 3*sqrt(3)*sin(t)=6cos(t-x)

I know that 6 cos(t-x) can be 6(cos(t)cosx(x)+sin(t)sin(x))
I dont know where to go from there though.

Calculus - Steve, Tuesday, January 15, 2013 at 2:45pm
what you have now is
3cost + 3√3 sint = 6cosx cost + 6sinx sint

for them to be identical, the coefficients must match:

3 = 6cosx
3√3 = 6sinx

looks like x = π/3

Answer this Question

Related Questions

MATLAB - I got another MATLAB question that I seem to be struggling with. Use ...
Adv. Alg/Trig - How would you solve tan(-335) without using a calculator? I got ...
Factoring - What does 3x^3-3x+2=0 come out to? How would I solve this? Is the x ...
Trig - In triangle ABC, A=35 degrees, a=43, and c=20. Determine whether ABC has ...
Pre-Calculus - Composition of Functions If f(x) = 2x+1 find A. f o f(x) f(f(x...
unique solution - How do I show that the equation x^4 + 3x + 1 = 0, -2 &lt...
gr 12. advanced functions - Trig identity Prove: cos2x tan(pie/4 - x...
Math, Still Need Help! - Label each statement TRUE or FALSE. a. The sum of two ...
Math AP Calc - Label each statement TRUE or FALSE. a. The sum of two one-to-one ...
Calculus - Integrate [1/square root of(e^(2x)-1)]. I have to use u substitution...

For Further Reading

First Name:
School Subject:
Answer: