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4 years ago

Find the exact value of secθ if cscθ=-4/3 and the terminal side of θ lies in Quadrant III.

1 answer:

6 0

Quadrant is III so, sign would be negative for Sec.
Now, we know, csc = H / P
So, H = 4, P = 3
Calculate for B,
B² = H² - P²
B² = 4² - 3²
B² = 16 - 9
B = √7

We know, sec Ф = H / B = 4 / √7
We can write it as: -4√7 / 7 [ -ve sign for 3rd quadrant ]

In short, Your Answer would be Option B

Hope this helps!

You might be interested in

Find the other endpoint of the line segment with the given endpoint and midpoint.

Shtirlitz [24]

Answer:

endpoint is (29, -13)

Step-by-step explanation:

Formula for midpoint is $(\frac{x_{1} + x_{2} }{2} ,\frac{y_{1} + y_{2} }{2} )$

So, let $(x_{2} , y_{2} )$ be the coordinates of the endpoint you are looking for.

$x_{1} = -9$ and $y_{1} = 7$

$(\frac{-9 + x_{2} }{2} , \frac{7 + y_{2} }{2} )$ = (10, -3)

$\frac{-9 + x_{2} }{2} = 10$ $\frac{7 + y_{2} }{2} = -3$

-9 + $x_{2}$ = 20 7 + $y_{2} = -6$

$x_{2} = 29$ $y_{2} = -13$

endpoint is (29, -13)

6 0

3 years ago

I need some help with binomial theorems. can anyone help solve this?

Svetlanka [38]

Use Pascal's Triangle

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1 (this is the row you use)

So, the seventh term of (3x + 2y)^9 will be 84xy

8 0

4 years ago

Read 2 more answers

( − 9 , 7 ),(−6,−3)

lina2011 [118]

Answer: If you wanting to find the slope, the answer would be m = -10/3

Step-by-step explanation: Use the slope formula to find the slope m.

Hope this helps you out! ☺

3 0

4 years ago

53/7 as a mixed number

marysya [2.9K]

Its already an improper fraction.
If you mean mixed number it would be 7 4/7.
Hope this helps!:)

7 0

3 years ago

Read 2 more answers

Convert

ICE Princess25 [194]

Answer:

The correct option is A.

Step-by-step explanation:

The given number is

$\frac{5}{11}$

Where 5 is dividend and 11 is divisor.

Since dividend is less than divisor we add a decimal place and the first zero. Notice the decimal point which has appeared on the answer line and by the dividend. It does not appear anywhere else.

Now the dividend is 50. Divide the number by divisor.

$11\times 4=44$