k(t)==3-4^t/sin(4)t

To evaluate the function k(t) = (3 - 4^t) / (sin(4t)), you can follow these steps:

Step 1: Substitute the value of t into the function.
- Replace every instance of t in the function with the given value.

For example, if you're asked to evaluate k(2), replace t with 2 in the function:
k(2) = (3 - 4^(2)) / (sin(4 * 2))

Step 2: Simplify any exponents.
- Evaluate any exponents before proceeding.

In our example, simplify 4^2:
k(2) = (3 - 16) / (sin(4 * 2))

Step 3: Perform multiplications or divisions.
- Multiply or divide any numbers before moving to the next step.

In our example, simplify 4 * 2:
k(2) = (3 - 16) / (sin(8))

Step 4: Evaluate any trigonometric functions.
- Evaluate the trigonometric function(s) before moving to the next step.

In our example, compute sin(8). If you are using a calculator, make sure it's set to the appropriate units (usually radians or degrees) before evaluating the function.

Step 5: Perform the remaining additions or subtractions.
- Add or subtract any remaining numbers to find the final result.

In our example, perform the subtraction:
k(2) = (-13) / (0.989)

The final result for k(2) is approximately -13.13.

Remember to perform these steps for any other values of t you need to evaluate.