QQuestionMathematics
QuestionMathematics
what is cos 45 degrees?
| ○ A. | 1 / 5 |
| --- | --- |
| ○ B. | 1 / 3 |
| | 2 |
| ○ C. | 1 |
| ○ D. | 1 |
| | 1 / 3 |
| ○ E. | 1 |
| | 1 / 2 |
| ○ F. | 1 |
| | 2 |
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Answer
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Step 1:I'll solve this step-by-step using precise LaTeX formatting:
Step 2:: Recall the cosine of 45 degrees
The cosine of 45 degrees is a special angle that can be calculated using trigonometric principles.
Step 3:: Convert 45 degrees to radians
45° = \frac{\pi}{4} \text{ radians}
Step 4:: Calculate cos(45°)
For a 45-45-90 triangle, the cosine of 45 degrees is $$\cos(45°) = \frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}
Step 5:: Simplify the fraction
\cos(45°) = \frac{\sqrt{2}}{2} = \frac{1}{\sqrt{2}} = \frac{1}{1.414} \approx 0.707
Step 6:: Compare with given options
Looking at the multiple choice options, $$\frac{1}{2}$$ is not the correct value.
Final Answer
The correct answer is E: 1 \frac{1}{2}.
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