Simplify sin(pi/4)-cos(pi/4)

Problem

sin(π/4)−cos(π/4)

Solution

1. Identify the exact values for the trigonometric functions at the angle π/4 using the unit circle or special right triangles.

2. Substitute the value sin(π/4)=√(,2)/2 into the expression.

3. Substitute the value cos(π/4)=√(,2)/2 into the expression.

4. Subtract the two values to find the result.

Final Answer

sin(π/4)−cos(π/4)=0

Want more problems? Check here!