Express sin3theta in terms of sintheta

1 answer:

8 0

$\sin3\theta=\sin(\theta+2\theta)=\sin\theta\cos2\theta+\cos\theta\sin2\theta$
$=\sin\theta(1-2\sin^2\theta)+2\cos^2\theta\sin\theta$
$=\sin\theta-2\sin^3\theta+2(1-\sin^2\theta)\sin\theta$
$=3\sin\theta-4\sin^3\theta$

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Mario bought $5 worth of stamps at the post office. He bought ten more 6 cents stamps than 10 cents stamps. The number of 8 cent

vlabodo [156]

S=number of 6 cent stamps
t=number of ten cen stamps
e=number of 8 cent stamps
w=number of 20 cents stamps=2

cost=500 cents
6s+10t+8e+20w=500
w=2 since two 20 cent stamps wer bought
6s+10t+8e+40=500
minsu 40 both sides
6s+10t+8e=460
divide both sides by 2 to simplify
3s+5t+4e+230

also
10 more 6 cent than 10 cent
s=10+t

8 cent stamps is 3 times 10 cent stamps
e=3t

sub
s=10+t
e=3t

3(10+t)+5t+4(3t)+230
30+3t+5t+12t=230
30+20t=230
minus 30
20t=200
divid 20
t=10

sub back
s=10+t
s=10+10
s=20

e=3t
e=3(10)
e=30

20 six cent
30 eight stamp
10 ten cent
2 twenty cent

6 0

3 years ago

Read 2 more answers

PLZ HELP!!!!!!!

mrs_skeptik [129]

Answer:

5. A) two solutions

6. one solution

Step-by-step explanation:

5. A graph shows the curve has two x-intercepts, so two solutions. You can also figure this by looking at the discriminant:

b^2 -4ac = (7)^2 -4(-4)(8) . . . . a positive number

When the discriminant is positive, there are two real solutions.