Welke gelijkheid is juist ?

(α geen veelvoud van 90° )
A.   sin (90° + α) = sin (270° − α)
B.   cos (90° + α) = cos (270° − α)
C.   tan (90° + α) = tan (270° − α)
D.   cot (90° + α) = cot (270° − α)
E.   geen van de vorige is juist
A    B    C    D    E

[ 4-4794 - op net sinds 16.2.07-(E)-16.12.2021 ]

Translation in   E N G L I S H

Which equation is correct ?

( α not a multiple of 90° )
A.   sin (90° + α) = sin (270° − α)
B.   cos (90° + α) = cos (270° − α)
C.   tan (90° + α) = tan (270° − α)
D.   cot (90° + α) = cot (270° − α)
E.   none of the above

Oplossing - Solution

cos (90° + x ) = sin [90° − (90° + x)] = sin (−x)
cos (270° − x) = cos (− 90° − x) = cos (90° + x) = sin (−x)
gricha