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julia-pushkina [17]
3 years ago
8

Find a numerical value of one trigonometric function of x if sinxcotx=1/3

Mathematics
2 answers:
algol133 years ago
7 0
Sin x cotx = sin x * cos x / sin x  = cos x

so cos x = 1/3
NemiM [27]3 years ago
4 0

Answer:

A numerical value of one trigonometric function of x, for the given function would be cos(x)=\frac{1}{3}

Step-by-step explanation:

We know that there are many trigonometric functions, <em>that can be expressed as functions of x</em>, for example:

sin(x)

cos(x)

tan(x)

cot(x)

csc(x)

So, the problem is aking us for one trigonometric function of x, <u>but gives us a product of functions of x</u>, instead of one function of x. We note then, that

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

Therefore, we calculate from the given function

sin(x)*\frac{cos(x)}{sin(x)}=cos(x)=\frac{1}{3}

wich is our answer, furthermore, <em>we could calculate the value of x for this case</em>

x=cos^-1(\frac{1}{3})\approx70.5

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If w represents number of weeks, then (C) represents the model appropriately. Let's see how:

Putting w = 1 , 2 and 3 in each of the options

(A) 3w: 3 for week 1, 6 for week 2, 9 for week 3 ⇒ INCORRECT

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(C) 3^w: 3 for week 1, 9 for week 2, 27 for week 3 ⇒ CORRECT

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5 0
3 years ago
Read 2 more answers
F(x)=300(1.16)power x can someone help me out
Vedmedyk [2.9K]

Step-by-step explanation:

I am not too sure what the question asking for

but to evaluate f(x) = 300(1.16) power x = 7.500^20

8 0
3 years ago
If one plane is flying at 40mph. While another is flying at 100mph. They are 200 miles apart, how long will it take them to coll
Paha777 [63]

Answer:

1 and 3/7 hour

Step-by-step explanation:

Every hour they get 140 miles closer (100 + 40). So you divide 200 by 140 which gets you 1.42... or 1 and 3/7 of an hour.

6 0
3 years ago
Round to the nearest 10th if necessary
Lana71 [14]

Answer:

38.7°.

Step-by-step explanation:

from trigonometrical ratios

SO TO CA

H A H.

Tan°=opposite/adjacent.

Tan°=48/60

Tan°=0.8000

°= Tan-1(0.8000)

°=38.65°≈38.7°

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Find an expression which represents the sum of (-8x+7y)(−8x+7y) and (2x-2y)(2x−2y) in simplest terms.
Yakvenalex [24]

Answer:

(-8x+7y)(−8x+7y)+(2x-2y)(2x−2y)= simplified - 68x^2+53y^2−120xy

I hope this helps ! <3

Step-by-step explanation:

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2 years ago
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