Method: Trig Function Limits Category 2

Step 1: Try Option 1: Plug It In

Step 2: Rewrite all trig functions into their sine and cosine identities.

Step 3: Identify all of your different sine functions.

Step 4: Get the $x–\mathit{value}$outside the sine function to match the $x–\mathit{value}$ inside the sine function. Rewrite the equation to collect the Sine Limit Identity pieces that now match. You want to think about this process in a similar way to finding a common denominator. You can’t multiply inside your sine function. So, you need to multiply the outside $x–\mathit{value}$ to get the two pieces to match.

Step 5: Apply the Sine Limit Identity and Option 1: Plug It In to solve the limit.