Diket: sin x + cos x = -1/5 Berapa nilai tan 2x?

(sin x + cos x) = -1/5
(sin x + cos x)² = (-1/5)²
sin²x + 2 sinx cos x + cos² x = (1/25)
(sin²x + cos² x) + 2sin x cos x = 1/25
1 + 2sin x cos x = 1/25
sin 2x = 1/25 - 1
sin 2x = -24/25

-24, 25, 7 theorema phytagoras

cos 2x = 7/25

maka nilai tan 2x
tan 2x = sin 2x/ cos 2x
= (-24/25) : (7/25)
= (-24/25) × (25/7)
= -24 / 7

maka tan 2x = -24/ 7

maaf klo salah