tan (270° + α )

is gelijk aan
A.   tan α
B.   − tan α
C.   cot α
D.   − cot α
E.   − tan (90° + α)
A    B    C    D    E 

[ 3-5320 - op net sinds 11.2.13-(E)-3.11.2023 ]

Translation in   E N G L I S H

tan (270° + α )
is equal to
A.  tan α
B.  − tan α
C.  cot α
D.  − cot α
E.  − tan (90° + α)

Oplossing - Solution

1ste manier :   eerst supplement
tan (270° + x) = tan (90° + x) = cot [ 90° − (90° + x) ] = cot (−x) = − cot x
2de manier :   eerst   − 360°
tan (270° + x) = tan (− 90° + x) = − tan(90° − x) = − cot x
3de manier :   eerst complement
tan (270° + x) = cot [ 90° − (270° + x) ] = cot (−180° − x) = cot (−x) = − cot x
gricha