cos 285°.cos 195°

is gelijk aan
A.     \(0\)
B.    \(\frac12\)
C.   \(-\frac14\)
D.    \(\frac14\)
E.   een irrationaal getal
A    B    C    D    E

[ 5-6864 - op net sinds 18.3.13-(E)-13.6.2025 ]

Translation in   E N G L I S H

cos 285°× cos 195°
is equal to
A.     \(0\)
B.    \(\frac12\)
C.   \(-\frac14\)
D.    \(\frac14\)
E.  an irrational number

Oplossing - Solution

1ste manier :
cos 285°.cos 195° = cos (285°−180°).cos (195°−180°) = cos 105°.cos 15° = − cos 75°.cos15° = − sin 15°.cos 15° = − 1/2 .2sin15°.cos15 = − 1/2sin30°= − 1/21/2 = ...
2de manier :
cos 285°.cos 195° = sin(90°−285°).cos195° = − sin195°.cos195°
= −  1/2 2 sin195°.cos195° = − 1/2 sin 390° = −  1/2sin 30° = − 1/21/2 = ...