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3 years ago

How would you verify the trigonometric identity 2x = 2sinx cosx

Mathematics

2 answers:

ad-work [718]3 years ago

7 0

Answer:

Step-by-step explanation:

2x = 2sinx cosx is not an identity. An identity is "always true," whereas a conditional equation is true only for specific value(s) of the unknown. Double check to ensure that you have copied down this problem correctly.

dem82 [27]3 years ago

5 0

Step-by-step explanation:

Hi, there!!

I hope you mean sin2x=2sinx . cosx

so, let's begin in a simple way; by adding, alright:

sin2x= sin(x+x) (as 2x=x+x).

now, let's use compound formula for sin,

so, we get:

sin (x+x)= sinx.cosx + cosx. sinx (as sin(A+B)=sin A. cosB + cosA . sinB)

or, sin (x+x)=2sinx.cosx (adding both).

Therefore, sin 2x = 2sinx. cosx.

Hope it helps..

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Write an equivalent expression -3 + 2/3y - 4 - 1/3y

aliina [53]

Answer:

join the y-related together and the others together

ie -7+1/3y

thats the shortest form one can drill down to, so that should be the answer

Step-by-step explanation:

5 0

3 years ago

Angle Q = 85° Determine angle O.

kkurt [141]

Answer:

∠O = 95°

Step-by-step explanation:

since ∠Q = 85°, arc NOP = 2(85°) = 170°

arc PQN = 360° - arc NOP

arc PQN = 360° - 170° = 190°

∠O = 1/2(arc PQN) = 1/2(190°) = 95°

4 0

2 years ago

In the New York State daily lottery game, a sequence of 4 (not necessarily different) digits in the range of 0-9 is selected at

devlian [24]

Answer:

50.40% probability that all 4 are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

4 digits, all different

For the first digit, it can be any of them, so there are 10 possible

For the second digit, it can be any of them other than the first digit. So there are 9 possible.

For the third digit, it can be any of them, other than the first and the second. So there are 8 possible.

By the same logic, 7 possible digits for the fourth. So

$D = 10*9*8*7 = 5040$

Total outcomes:

4 digits, each can be any of them(10 from 0 - 9).

$T = 10*10*10*10 = 10000$

Probability:

$p = \frac{D}{T} = \frac{5040}{10000} = 0.5040$

50.40% probability that all 4 are different.

5 0

3 years ago

Tanya has a garden with a trench around it. The garden is a rectangle with length 2.5m and width 2m. The trench and the garden t

Drupady [299]

Answer:

5.5m^2

the area of just the trench is 5.5 m^2

Step-by-step explanation:

The Area of trench only is the total area(trench and garden) minus the Area of garden

Area of trench only = total area(trench and garden) - Area of garden

Area = length × breadth

Substituting the given dimensions;

Total area = 3.5 × 3 = 10.5 m^2

Area of garden = 2.5×2 = 5 m^2

Area of trench only = 10.5 m^2 - 5 m^2

Area of trench only = 5.5m^2

the area of just the trench is 5.5 m^2

8 0

3 years ago

Read 2 more answers

Why did the student eat his homework? Answer to 5.1 puzzle time big math blue The teacher told him it was a piece of cake

wel

Answer:

Not quite sure what the purpose of this question is, but... How do you get straight A's?

Use a ruler

*insert rimshot*

Step-by-step explanation:

7 0

3 years ago