◆ COMPLEX NUMBERS ◆
125 ( cos 288 + i sin 288 ) can be written as -
125.e^i( 288)
125.e^i( 288 +360 )
125.e^i( 288+ 720)
[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]
To find the cube root , take the cube root of above 3 expressions ,
We get -
5 e^( i 96 )
5 e^( i 216 )
5 e^( i 336 )
Now using Euler's formula , We rewrite above as -
5 ( cos 96 + i sin 96 )
5(c os 216 + i sin 216 )
5 ( cos 336 + i sin 336 ) Ans.
Answer:
The expression which is equivalent to –2i(6 – 7i) is; (0 – 2i)(6 – 7i)
Answer:
cant see 32
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
A triangle's angles add up to 180 degrees, so 180-90 (the right angle) is 90 degrees. That means that
4x+6+3x+14 = 90. Then we simplify so
7x + 20 = 90. Then we can subtract 20 from each side so
7x = 70. Then, we find that
x = 10.
Answer:
a=19
Step-by-step explanation:
First we have to distribute the parenthesis; multiply (a+5) by 1/3
8=1/3*a+1/3*5
Now we just solve the equation regularly
8=1/3a+5/3
8-5/3=1/3a
6 1/3=1/3a
a=19
