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Nature of Trigonometric Function

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☼ Nature of Trigonometric Function : –

P (A) = { 2k π / k Z }

P (B) = $\left\{(4k+1)\frac{\pi}{2}/k\in Z\right\}$

P (A & $A^\prime$ ) = { k π / k $\in$ Z }

P ( $A^\prime$ ) = { (2k $\pm$ 1) π / k $\in$ Z }

P ( $B^\prime$ ) = $\left\{(4k-1)\frac{\pi}{2}/k\in Z\right\}$

P (B & $B^\prime$ ) = $\left\{(2k\pm1)\frac{\pi}{2}/k\in Z\right\}$

P (A , $A^\prime$ , B & $B^\prime$ ) = $\left\{\frac{k\pi}{2}/k\in Z\right\}$