![If f (x) = cos [ pi ^ 2 ] x + cos [ - pi ^ 2 ] x where. [ . ] stands for the greatest integer function then which of the following is wrong. If f (x) = cos [ pi ^ 2 ] x + cos [ - pi ^ 2 ] x where. [ . ] stands for the greatest integer function then which of the following is wrong.](https://haygot.s3.amazonaws.com/questions/1983248_1180018_ans_5d401a30a76a471092f1bd3d399a3b3d.jpg)
If f (x) = cos [ pi ^ 2 ] x + cos [ - pi ^ 2 ] x where. [ . ] stands for the greatest integer function then which of the following is wrong.
![real analysis - Prove that, $\cos x\ge1-{2x\over\pi}\ \forall x\in[0,{\pi\over2}]$ - Mathematics Stack Exchange real analysis - Prove that, $\cos x\ge1-{2x\over\pi}\ \forall x\in[0,{\pi\over2}]$ - Mathematics Stack Exchange](https://i.stack.imgur.com/wunIp.png)
real analysis - Prove that, $\cos x\ge1-{2x\over\pi}\ \forall x\in[0,{\pi\over2}]$ - Mathematics Stack Exchange
Prove that cos^2x + cos^2(π/3 + x) - cosx cos(π/3 + x) is independent of x. - Sarthaks eConnect | Largest Online Education Community
![By Using the Properties of Definite Integrals, Evaluate the Integrals `Int_0^(Pi/2) Cos^2 X Dx` - Mathematics | Shaalaa.com By Using the Properties of Definite Integrals, Evaluate the Integrals `Int_0^(Pi/2) Cos^2 X Dx` - Mathematics | Shaalaa.com](https://www.shaalaa.com/images/_4:4c01d574fb764babb9dd10b64c93d9df.png)