tan x . tan(90°− x) . tan(180°− x) . tan(270°− x)

is gelijk aan

( x is geen veelvoud van 90°)
A.   1
B.  tan x
C.  tan² x
D.  tan⁴ x
E.  − 1
A    B    C    D    E 

[ 4-4962 - op net sinds 19.12.2020-(E)-23.10.2023 ]

Translation in   E N G L I S H

tan x . tan(90°− x) . tan(180°− x) . tan(270°− x)

is equal to
A.   1
B.   tan x
C.   tan² x
D.   tan⁴ x
E.   − 1

Oplossing - Solution

 tan x . tan(90°− x) . tan(180°− x) . tan(270°− x)
= tan x . tan(90°− x) . tan(− x) . tan(90°− x)
= tan x . cot x . tan(− x) . cot( x)
= − 1
gricha