\(\frac{\cot\,(180^{\circ}+\alpha)\cdot\sin\,(90^{\circ}-\alpha)}{\tan\,(-\alpha)\cdot\cos\,(180^{\circ}-\alpha)}=\) A.     1
B.   cot ² x
C.   − cot x
D.   tan ² x
E.   − 1
    A    B    C    D    E

[ 4-5244 - op net sinds 23.6.09-(E)-20.10.2026 ]

Translation in   E N G L I S H

\(\frac{\cot\,(180^{\circ}+\alpha)\cdot\sin\,(90^{\circ}-\alpha)}{\tan\,(-\alpha)\cdot\cos\,(180^{\circ}-\alpha)}=\) A.   1
B.   cot ² x
C.   − cot x
D.   tan ² x
E.   − 1

Oplossing - Solution

\(\Large\frac{\cot \, (180^{\circ}+\alpha )\cdot \sin \, (90^{\circ}-\alpha )} {\tan \, (-\alpha )\cdot \cos\, (180^{\circ}-\alpha) }\\ \Large=\frac{\cot \alpha \cdot \cos \alpha }{-\tan \alpha\cdot (-\cos \alpha ) }\\ =\;\cot^2 \alpha\)
gricha