Answer: D. 6 and 4
Explanation:
2643 - 180 = 2463 the 6 changes to a 4, and the 4 changes to a 6.
3.528571429
Hope This Helps!!
Answer:
48
Step-by-step explanation:
Using Uclid's division algorithm, the HCF of 960 and 432 can be obtained as follows:
Here, 960 is greater and 432 is smaller. We divide 960 by 432.
STEP 1:
960 = 432*2 + 96
STEP 2:
Divide divisor (432) by remainder (96)
432 = 96 * 4 + 48
STEP 3:
Divide divisor (96) by remainder (48)
96 = 48 * 2 + 0
Since, remainder at this step is zero (0), so the HCF would be the divisor of this step which is 48.
Thus, HCF of 960 and 432 is 48
<span>sinx - cosx =sqrt(2)
Taking square on both sides:
</span>(sinx - cosx)^2 =sqrt(2)^2<span>
sin^2(x) -2cos(x)sin(x) + cos^2(x) = 2
Rearranging the equation:
sin^2(x)+cos^2(x) -2cos(x)sin(x)=2
As,
</span><span>sin^2(x)+cos^2(x) = 1
</span><span>So,
1-2sinxcosx=2
1-1-2sinxcosx=2-1
-</span><span>2sinxcosx = 1
</span><span>Using Trignometric identities:
-2(0.5(sin(x+x)+sin(x-x))=1
-sin2x+sin0=1
As,
sin 0 = 0
So,
sin2x+0 = -1
</span><span>sin2x = -1</span><span>
2x=-90 degrees + t360
Dividing by 2 on both sides:
x=-45 degrees + t180
or 2x=270 degrees +t360
x= 135 degrees + t180 where t is integer</span>
