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pav-90 [236]
3 years ago
14

Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

x
Mathematics
1 answer:
expeople1 [14]3 years ago
4 0

Answer:

cot x = \frac{cos x}{sin x}

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

csc x -sin x + sin x = csc x

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

cos x cot x + sin x

We know from math properties that the definition for cot is cot x = \frac{cos x}{sin x}

If we use this definition we got:

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

Now we can use the following identity:

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

csc x -sin x + sin x = csc x

And then the best option for this case would be:

b.csc x

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3 years ago
In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angl
nirvana33 [79]

The equation that solve for x is as follows;

70 + 60 + x = 180

<h3 /><h3>How to find an angle?</h3>

The equation that can be used to find the measure of angle x can be found as follows:

60 + 70 + y = 180

Therefore,

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subtract 130 from both sides

130 - 130 + y = 180 - 130

y = 50°

70 + 60 + x = 180

130 + x = 180

x = 180 - 130

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learn  more on angles here: brainly.com/question/24460838

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4 0
1 year ago
Need help with this question too, just took a guess, but cannot explain or not sure if it's correct, please see pic for math pro
Oksi-84 [34.3K]

Answer:

0 ≤ x ≤ 70

Step-by-step explanation:

The range is defined by all values in the y-axe that are represented in the graph. In this case, we see the graph goes from 0 to 70, that will be the range.

PD. The representation is a non function.

5 0
3 years ago
*DIFFICULT QUESTION, PLEASE ANSWER ASAP * *MAKE SURE YOU PROVIDE DETAILS* Without knowing their diameters, which sporting ball h
Marta_Voda [28]

Answer:

Golf ball

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The formula for the surface area of a sphere is 4\pir².  The variable is the radius.  Therefore, the sphere with the smallest radius would have the smallest surface area.

6 0
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If L
BabaBlast [244]
Pythagorean's theorem says the hypotenuse of a triangle is A^2+B^2=C^2 in this case I'll put the L,W, and D so it's easy to understand. L^2+W^2=D^2 is the exact same formula as above and is how we will solve this. (30^2)+(10^2)=1000 then we take the square root since 1000=D^2, and we get 36.62 as D.
3 0
3 years ago
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