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r-ruslan [8.4K]
3 years ago
13

How do you simplify sin2x=cosx

Mathematics
1 answer:
torisob [31]3 years ago
4 0
          sin(2x) = cos(x)
2sin(x)cos(x) = cos(x)  Expand sin(2x).
     2cos(x)      2cos(x) Divide 2cos(x) on each side.
            sin(x) = ¹/₂
    sin⁻¹[sin(x)] = sin⁻¹(¹/₂)   Use sin⁻¹(x) on each side.
                   x = 30, 150  Find the answer.
You might be interested in
Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number
zhannawk [14.2K]

Answer:

x + y = 15

0.5x + 0.65y = 9

Step-by-step explanation:

x = number of oranges

y = number of apples

total of apples and oranges is 15 so x + y = 15

total cost of apples and oranges is $9 so 0.5x + 0.65y = 9

Calculation

y = 15 - x

0.5x + 0.65(15-x) = 9

0.5x - 0.65x + 9.75 = 9

-0.15x = - 0.75

x = 5

y = 15 - x = 15 - 5 = 10

6 0
2 years ago
What could be the intersection of plane PRS and plane QRS?
Mariana [72]

Answer:

The plane PRS passes through the points P, R and S. So it contains the line RS. Also the plane QRS passes through the points Q, R and S. So it contains the line RS as well. Since both the planes contain the line RS, the line RS must be the intersection of plane PRS and QRS

Step-by-step explanation:

8 0
3 years ago
Lilly decides to make cupcakes and sell them at the local farmer's market. She borrows $225 dollars from Garrison and another $1
Deffense [45]

Answer:

My guess is 195.

Step-by-step explanation:

225 + 120 = 345 - 150 = 195

8 0
2 years ago
Read 2 more answers
Write at least three different expressions that are equivalent to 16a-24
Vaselesa [24]
I’m not sure if this is how you do it but:
2(8a - 12)
4(4a - 6)
8(2a - 3)
??
4 0
2 years ago
Read 2 more answers
F(x) = x4/5(x − 6)2 find the critical numbers of the function
Fiesta28 [93]
You can find the critical numbers by finding the derivative of the function and solving for 0.

F(x) = x(4/5)(x-6)(2) = x(8/5)(x-6) = (8/5)(x^2 - 6x)

Taking the derivative:
F'(x) =  (8/5)(2x - 6)
F'(x) = 0 at x = 3, 

critical number = 3
5 0
3 years ago
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