Chứng minh rằng với mọi \(\alpha\), ta luôn có :
a) \(\sin\left(\alpha+\dfrac{\pi}{2}\right)=\cos\alpha\)
b) \(\cos\left(\alpha+\dfrac{\pi}{2}\right)=-\sin\alpha\)
c) \(\tan\left(\alpha+\dfrac{\pi}{2}\right)=-\cot\alpha\)
d) \(\cot\left(\alpha+\dfrac{\pi}{2}\right)=-\tan\alpha\)