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 outside the sine function to match the 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 to get the two pieces to match.
Step 5: Apply the Sine Limit Identity and Option 1: Plug It In to solve the limit.