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Rudik [331]
3 years ago
12

Trigonometry Trigonometric Functions Given: Cos θ = (3/5), Find: Csc θ

Mathematics
1 answer:
torisob [31]3 years ago
5 0

The value of \csc \theta is \frac{5}{4}

Explanation:

Given that the function cos \ \theta is cos \ \theta= \frac{3}{5}

We need to determine the value of \csc \theta

<u>The value of Opposite side of the triangle:</u>

The formula for cos \ \theta is given by

cos \ \theta= \frac{adj}{hyp}=\frac{3}{5}

The value of opposite side can be determined using the formula,

opp=\sqrt{hyp^2-adj^2

opp=\sqrt{5^2-3^2}

opp=\sqrt{25-9}

opp=\sqrt{16}=4

Thus, the value of opposite side is 4

<u>The value of </u>sin \ \theta<u>:</u>

The formula for sin \ \theta is given by

sin \ \theta= \frac{opp}{hyp}

Substituting the values, we have,

sin \ \theta= \frac{4}{5}

Thus, the value of sin \ \theta is \frac{4}{5}

<u>The value of </u>\csc \theta<u>:</u>

The formula for \csc \theta is given by

csc \ \theta=\frac{1}{sin \ \theta}

Substituting the values, we have,

csc \ \theta=\frac{1}{\frac{4}{5}}

csc\ \theta= \frac{5}{4}

Thus, the value of \csc \theta is \frac{5}{4}

Hence, the value of \csc \theta is \frac{5}{4}

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What equation relates the number of quarters x and the number of quarters x and the number of dime y to the goal of $10
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.25x+.10y=$10

.25 because that is the value of the quarter, times x the number or quarters you have and .10 because that is the value of the dime times y, the number of dimes you have.
8 0
3 years ago
An object falls 9 meters during the first second, another 27 meters during the second second, and then 81 meters more during the
marishachu [46]
360 meters is the answer as 9 meter in 1st second ,27 meter in 2nd and 81 in 3rd it is in a series of geometric progression ...of 9,27,81 in which 9*3 =27,27*3=81 so next number will be 81*3=243 total distance moved in 4 seconds is 243+81+27+9=360 meters

4 0
3 years ago
What is the result when the number 48 is decreased by<br> 15%?
Hitman42 [59]

Answer:

40.8

Step-by-step explanation:

48 * .15 = 7.2

48 - 7.2 = 40.8

3 0
3 years ago
Read 2 more answers
What is the name of segment BD ?!
Alenkasestr [34]

Answer:

diameter

Step-by-step explanation:

BD is the diameter of the circle.

4 0
3 years ago
I don’t really get this one.<br> Thx and have a great day!!
gayaneshka [121]

Answer:

The correct option is C). (9,4)

The coordinates of a point N is (9,4)

Step-by-step explanation:

Theory: If point P(x,y) lies on line segment AB and AP: PB=m:n, then we say P divides line AB internally in ratio of m:n and Point is given by

P=(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})

Given that point, M is lying somewhere between point L and point N.

The coordinates of a point L is (-6,14)

The coordinates of a point M is (-3,12)

Also, LM: MN = 1:4

We can write as,

Let,

Point L(-6,14)=(X1, Y1)

Point M(-3,12)=(x,y)

Point N is (X2, Y2)

m=1 and n=4

M(-3,12)=(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})

M(-3,12)=(\frac{1(X2)+4(-6)}{1+4} , \frac{(Y2)+4(14)}{1+4})

M(-3,12)=(\frac{(X2)-24}{5} , \frac{1(Y2)+56}{5})

(-3)=\frac{(X2)-24}{5}

(-15)=X2-24

X2=9

(12)=\frac{(Y2)+56}{5}

(60)=Y2+56

Y2=4

Thus,

The coordinates of a point N is (9,4)

Result: The correct option is C). (9,4)

3 0
3 years ago
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