What is the value of \(\cos \frac{\pi}{2}\)?
Answer and explanation
Correct answer: 0
On the unit circle, the point corresponding to the angle \(\frac{\pi}{2}\) is \((0,1)\). Cosine equals the x-coordinate, so \(\cos \frac{\pi}{2}=0\). The value \(-1\) is for \(\cos \pi\), not for \(\cos \frac{\pi}{2}\). Exam tip: Remember that cosine values at \(0, \frac{\pi}{2}, \pi\) are \(1,0,-1\), respectively.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
On the unit circle, the point corresponding to the angle \(\frac{\pi}{2}\) is \((0,1)\). Cosine equals the x-coordinate, so \(\cos \frac{\pi}{2}=0\). The value \(-1\) is for \(\cos \pi\), not for \(\cos \frac{\pi}{2}\). Exam tip: Remember that cosine values at \(0, \frac{\pi}{2}, \pi\) are \(1,0,-1\), respectively.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.
