Sin2(x) +cos(x)=1
from the relation: (sin2(x) +cos2(x) =1 )
so , sin2(x)=1-cos2(x)
by subs. in the main eqn.
1-cos2(x) + cos(x) =1
by simplify the eqn.
cos(x) -cos2(x)=0
take cos(x) as a common factor
cos(x)* (1-cos(x))=0
then cos(x)=0 && cos(x)=1
cos(x)=0 if x= pi/2
& cos(x) = 1 if x = 0 , 2*pi
so the solution is x= {0,pi/2 , 2*pi}
Answer:
sorry I don't know
Step-by-step explanation:
Answer: 21/44
Step-by-step explanation:
Given that:
Bag contains :
6 red apples
6 yellow apples
Number of samples drawn = 3
Probability that sample contains more red than yellow :
Then from the three samples, red = 2 and yellow = 1 or red for all 3
Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320
Prob RRY = (6/12)(5/11)(6/10)= 150/1320
Prob RYR is (6/12)(6/11)(5/10)= 180/1320
Prob YRR is (6/12)(6/11)(5/10)=180/1320
120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44
Answer:
y=(8/9)x + 4 and 2/3
Step-by-step explanation:
the slope of this line:
change in y/change in x
change in y=6-(-2)=8
change in x=-6-3=-9
change in y/change in x= 8/9
8/9 is the slope, so you plug it in for m in the standard form equation. You then use one point's x and y values to substitute for x and y in the equation, and solve for b, which is the y intercept
y=mx+b
y=(8/9)x+b
-2=(8/9)*3+b
-2=8/3+b
-4 and 2/3=b
When written as the quotient of two integers,
0.69696969 = <em>69,696,969 / 100,000,000 .</em>
<u>If</u> you had said that the ' 69 ' keeps repeating forever and never ends,
then that decimal would represent the fraction
23 / 33 .