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Sidana [21]
3 years ago
5

Help plez it is due tommorow

Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0
9:=4/5 10:=7/9do you want me to do the strategies for you. what grade are you in
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For 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)
gregori [183]

Recall the half-angle identity for sine,

sin²(x/2) = (1 - cos(x))/2

Then the given equation is identical to

sin²(θ) = 1 - cos(θ)

Also recall the Pythagorean identity,

sin²(θ) + cos²(θ) = 1

Then we rewrite the equation as

1 - cos²(θ) = 1 - cos(θ)

Factoring the left side, we have

(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)

and so

(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0

and we factor this further as

(1 - cos(θ)) (1 + cos(θ) - 1) = 0

which gives

cos(θ) (1 - cos(θ)) = 0

Then either

cos(θ) = 0   or   1 - cos(θ) = 0

cos(θ) = 0   or   cos(θ) = 1

[θ = arccos(0) + 2nπ   or   θ = -arccos(0) + 2nπ]

…   or   [θ = arccos(1) + 2nπ   or   θ = -arccos(1) + 2nπ]

(where n is any integer)

[θ = π/2 + 2nπ   or   θ = -π/2 + 2nπ]   or   [θ = 0 + 2nπ]

In the interval 0 ≤ θ < 2π, we get three solutions:

• first solution set with n = 0   ⇒   θ = π/2

• second solution set with n = 1   ⇒   θ = 3π/2

• third solution set with n = 0   ⇒   θ = 0

So, the first choice is correct.

6 0
3 years ago
PLZ HELP I NEED TO TURN THIS IN TODAY
Cerrena [4.2K]

Answer:

The top one

Step-by-step explanation:

Just count how many are in each catagory

5 0
3 years ago
Read 2 more answers
If f(x) = 7(x - 2) + 4(x + 1), what is f(2)? <br><br>O 9 <br>O 10<br>O 11 <br>O 12​
Jlenok [28]
I THINK it’s 11 .........
4 0
3 years ago
Read 2 more answers
What is the height of the trapezoid if the Area = 77 ft²? The h we don't know but the base is 14 and the line on top is 8. pleas
velikii [3]

Answer:

h = 7.333....

Step-by-step explanation:

Formula is A = 1/2h(b1+b2)

Area 77 determine the height

77=1/2h(14+8)

77 = 1/2h(22)h

77/10.5 = 10.5h/1.5

solve for h = 7.333....

5 0
3 years ago
The table shows the purchases made by two customers at a meat counter. You want to buy 2 pounds of sliced ham and 3 pounds of sl
Oxana [17]

Answer:

68

Step-by-step explanation:

3 0
3 years ago
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