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Simplify sin(45)-cos(45)

Problem

sin(45)−cos(45)

Solution

  1. Identify the exact values for the trigonometric functions at 45 using the unit circle or a special right triangle.

  2. Substitute the value sin(45)=√(,2)/2 into the expression.

  3. Substitute the value cos(45)=√(,2)/2 into the expression.

  4. Subtract the two values to find the result.

Final Answer

sin(45)−cos(45)=0


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