As Agent Trigonometry you are given this clue: . How could you simplify this expression to make solving your case easier?
We can also use the sum and difference formulas to simplify trigonometric expressions.
The and . is in the quadrant and is in the . Find .
Solution: First, we need to find and . Using the Pythagorean Theorem, missing lengths are 4 and 5, respectively. So, because it is in the quadrant and . Now, use the appropriate formulas.
Using the information from Example A, find .
Solution: From the cosine and sine of and , we know that and .
Solution: Expand this using the difference formula and then simplify.
Concept Problem Revisit You can expand the expression using the difference formula and then simplify.
1. Using the information from Example A, find .
2. Simplify .
and . Find the exact trig values of:
Simplify the following expressions.
Determine if the following trig statements are true or false.