Double angle formula for cos(2x) is
cos(2x)=cos^2(x)-sin^2(x)
Substitute x=4theta, then
cos(8theta)=cos^2(4theta)-sin^2(4theta)
=>
cos^2(4theta)-sin^2(4theta) = cos(8theta)
Answer:
1 and 4
or say it as
More seventh graders prefer art class to music class as an elective
There is no association between a student's grade level and the electives they prefer
Answer:
1 light-minute ≈ 1.12×10⁷ miles, three significant figures.
Step-by-step explanation:
Light-second is equal to the distance traveled per second by light in space, which is equal to 299,792,458 metres. Other units used are light-day, light-hour and light-minute.
Significant figures are the figures or digits of a number that carry meaning and contribute to the precision of the given number.
1 light-minute = 1.118×10⁷ miles, has four significant figures.
To express this number in three significant figures, the given number is rounded.
<u>1 light-minute = 1.118×10⁷ miles ≈ 1.12×10⁷ miles, has three significant figures, as the non-zero digits are significant.</u>
Answer:
first angle = 25 degrees
Second angle = 35 degrees
Third side = 120/degrees
Step-by-step explanation:
Let the size of the second angle be x degrees.
One angle of a triangle measures 10 degrees more than the second. This means that the size of the first angle is ( x+ 10 )degrees.
The measure of the third angle is
twice the sum of the measures of the first two angles. This means that
The third angle = 2( first angle + second angle). So the size of each angle is
First angle (x + 10) degrees
Second angle = x degrees
Third angle = 2(x + 10 + x) = (4x + 20) degrees
Sum of angles in a triangle = 180 degrees. Therefore, x + 10 + x + 4x + 20 = 180 degrees 6x + 30 = 180
6x = 180 - 30 = 150
x = 150/6 = 25 degrees
First angle = x + 10 = 25 +10 = 35
Third angle = 4x + 20 = 4 × 25 + 20
= 100+ 20 = 120 degrees
Hope this helps
Answer:
3216
Step-by-step explanation:
if the number to the right is greater than 5, it gets rounded up.