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babymother [125]
3 years ago
5

What is the sine value of 5 pi over 3 ? (5 points)

Mathematics
1 answer:
allsm [11]3 years ago
3 0

Answer: The result can be shown in multiple forms.

Exact Form:

− √ 3 /2

Decimal Form:

− 0.86602540 …

Step-by-step explanation:

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.

− sin ( π/3 )

The exact value of  

sin ( π /3 )  is  √ 3 /2 .

− √ 3 /2

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5cosx -2sin(x/2) +7=0<br>Help me to find x step by step<br>pls​
miskamm [114]

Answer:

x = 180

Step-by-step explanation:

First, you need to know

1. Double-angle formula:

cos(2x) = cos^{2}x - sin^{2}x

2. Pythagorean identity:

cos^{2}x + sin^{2}x = 1

Back to your problem, replacing the variable by the above:

5cosx-sin\frac{x}{2}+7 = 0

5(cos^{2}\frac{x}{2}-sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0 By Double-angle formula

5(1 - 2sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0 By Pythagorean identity

Given y = \frac{x}{2}

5(1-2sin^{2}y) - 2siny + 7 = 0

10sin^{2}y+2siny-12=0

5sin^{2}y+siny-6=0

(5siny + 6)(siny - 1)=0, we know -1 < sinx < 1, for every x ∈ R

siny = 1, y =90

y = \frac{x}{2}

x = 180

8 0
3 years ago
A sequence is defined by the recursive function f(n+1)=f(n). If f(3)=9, what is f(1)?
vekshin1
Put n=2 ,
f(2+1) = f(2) => f(3) = f(2) = 9
now, put n=1,
f(1+1) = f(1) => f(2) = f(1) = 9
6 0
3 years ago
Read 2 more answers
What is the value of 28 tens
lara [203]
Since there are 28 tens which is basically 28 rows of 10 all you have to do is 28 times 10. Whatever number times ten has a 0 after it so the answer is 280
7 0
4 years ago
What is the decimal equivalent of 6/13 ? Round to tenths place. If answer doesn't
Arte-miy333 [17]

Answer:

0.5

Step-by-step explanation:

6/13 is the same as saying 6 ÷ 13

6 ÷ 13 = 0.4615384615

The first position after the decimal is the tenths column. Round up, because 6>5.

6 0
3 years ago
Greg has decreased his running time by minute each of the last six weeks. Write an expression to represent the total change in h
Anettt [7]
Total change in relation to when Greg first started decreasing his run time : -6 minutes (at the end of 6 weeks)

Expression : -x (x is the number of weeks)
6 0
4 years ago
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