sorry for using printed paper, I tried my best to avoid the lines
Sorry but I dont think you are gonna get the answer in 4 minutes
Answer:
Step-by-step explanation:
b.) cos((π/2)-Ф)=-3/5 is true because :
cos((π/2)-Ф)= sin(Ф)
Answer:
x = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = 
, then
sin45° = 
= 
= ( cross- multiply )
x × 
= 9 ( divide both sides by )
x = 9
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
