To find the value of cos(135) - sin(45), we first need to determine the exact values of the cosine and sine functions at these angles.
We know that cos(135) is equal to -√2/2 and sin(45) is equal to √2/2.
Now, we can substitute these values into the expression:
cos(135) - sin(45) = -√2/2 - √2/2
Next, we simplify the expression by combining the terms:
-√2/2 - √2/2 = -2√2/2
Finally, we simplify further by dividing the numerator and denominator by 2 to get the final answer:
-2√2/2 = -√2
Therefore, cos(135) - sin(45) = -√2.
To find the value of cos(135) - sin(45), we first need to determine the exact values of the cosine and sine functions at these angles.
We know that cos(135) is equal to -√2/2 and sin(45) is equal to √2/2.
Now, we can substitute these values into the expression:
cos(135) - sin(45) = -√2/2 - √2/2
Next, we simplify the expression by combining the terms:
-√2/2 - √2/2 = -2√2/2
Finally, we simplify further by dividing the numerator and denominator by 2 to get the final answer:
-2√2/2 = -√2
Therefore, cos(135) - sin(45) = -√2.