- #1
IntegralDerivative
- 27
- 3
Homework Statement
Homework Equations
The Attempt at a Solution
cos(t) (3-sin(t)) = 0
but I get cos(t) =0 and sin(t)=3
but I thought sin(t) =3 is undefined?
Then the next step would be: What values of t make cos(t) equal zero?blue_leaf77 said:Then the factor that will give you the solutions is just ##\cos t = 0##.
No, you get cos(t) =0 or sin(t)=3.IntegralDerivative said:I get cos(t) =0 and sin(t)=3
The equation "3cos(t)-sin(t)cos(t)=0" is used to solve for the value of t in trigonometric functions.
To solve this equation, you can use trigonometric identities and algebraic manipulation to simplify the equation and find the value of t that satisfies the equation.
The steps to solve this equation are:
1. Use trigonometric identities to simplify the equation.
2. Use algebraic manipulation to isolate the variable t.
3. Solve for t using algebraic methods such as factoring or the quadratic formula.
4. Check the solution by plugging it back into the original equation.
Yes, you can use a calculator to solve this equation. However, it is important to understand the steps and concepts behind the solution rather than just relying on a calculator.
Yes, there are special cases when solving this equation. For example, if t=0 or t=π/2, the equation will be satisfied. Also, if the equation is simplified to cos(t)=0, then the solutions will be t=π/2 + nπ, where n is an integer.