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3 years ago

Solve the equation on the interval [0, 2π).

Mathematics

1 answer:

Elden [556K]3 years ago

5 0

Answer:

x = pi/2..only

Step-by-step explanation:

The equation states that...,

tan^2x.sin x = tan^2x

;we simplify the equation by dividing both sides by tan^2x...which then leaves our equation as,

; sin x = 1

; x = sin^-1 (1)

; Hence x = pi/2

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If the sinø=7/12, what is cosø?

777dan777 [17]

Answer:

If the sinø=7/12, cosø is $\frac{\sqrt{95} }{12}$

Step-by-step explanation:

We are given sinФ = 7/12

We need to find cosФ

The basic trigonometric functions of right triangle are:

$sin\theta=\frac{opposite}{hypotenuse}$

$cos\theta=\frac{adjacent}{hypotenuse}$

We need values of adjacent and hypotenuse to find cosФ

Using Pythagoras theorem we can find the value of adjacent

$(Hypotenuse)^2= (Opposite)^2+(Adjacent)^2$

We have Hypotenuse= 12 and Opposite = 7 (because $sin\theta=\frac{opposite}{hypotenuse}$ and we are given $sin\theta=\frac{7}{12}$

Inserting values and finding adjacent:

$(Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}$

So, value of Adjacent is $\sqrt{95}$

Now finding cosФ

$cos\theta=\frac{adjacent}{hypotenuse}$

Adjacent = $\sqrt{95}$ , hypotenuse = 12

$cos\theta=\frac{\sqrt{95} }{12}$

So, If the sinø=7/12, cosø is $\frac{\sqrt{95} }{12}$

7 0

3 years ago

Rewrite the equation by completing the square. 4 x^2 +20 x +25 = 0

Sav [38]

Answer:

x=-5/2

Step-by-step explanation:

4 x^2 +20 x +25 = 0

x^2+5x=-25/4

(b/2)^2=(5/2)^2

x^2+5x+25/4=0

(x+5/2)^2=0

x=-5/2

(Hope this helps)

6 0

3 years ago

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viktelen [127]

Answer:

One witch is straight across

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A grocery store employs 15 cashiers, 25 stock clerks, and 10 delivery personnel. Among them, 10 cashiers, 10 stock clerks, and 5

boyakko [2]

Answer:

0.5 or 50%

Step-by-step explanation:

The number of total employees is:

$T=15+25+10 =50\ Employees$

The number of married employees is:

$M=10+10+5 =25\ Employees$

The probability that a randomly selected employee is not married is given by:

$P=1-\frac{M}{T}\\P=1-\frac{25}{50}\\P=0.5\ or\ 50\%$

The probability is 0.5 or 50%.

7 0

3 years ago

Leila bought 5 CDs that were each the same price. Including sales tax, she paid a total of $72.50 Each CD had a tax of $0.60 . W

sukhopar [10]

Answer:

$69.50

Step-by-step explanation:

.60 + .60 + .60 + .60 + .60 = 3

72.50 - 3 = $69.50

7 0

3 years ago