Answer:
1.2
Step-by-step explanation:
Gradient = y2-y1/x2-x1
Coordinates = (4,6), (-16,-18)
-18 - 6/-16 - 4
-24/ -20
= 1.2
Hope it helps.
Answer:
1/4^3 = 1/64
Step-by-step explanation:
you just basically multiply 1/4 for the first 3 ones, you multiply
. then you do the same but twice and then once.
Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6