All categories

3 years ago

Find cos x if sin x cot x = 0.5.

Mathematics

2 answers:

I am Lyosha [343]3 years ago

8 0

Answer:

Choice A is correct.

Step-by-step explanation:

We have given that:

sin x cot x = 0.5.

We have to find the value of cos x .

As we know that cot x is the ratio of cos x and sin x.

cot x = cos x / sin x.

We have,

sin x (cos x / sin x) = 0.5.

cos x = 0.5

cos x = 0.5 is the answer.

sergiy2304 [10]3 years ago

4 0

Answer:

Choice A

Step-by-step explanation:

We are given;

$sinxcotx=0.5$

but we know that;

$cotx=\frac{1}{tanx}=\frac{cosx}{sinx}$

Substituting the last expression in place cot x yields;

$sinx*\frac{cosx}{sinx}=0.5\\ cosx=0.5$

You might be interested in

the empire state building is 1250 feet tall. IF an object is thrown upward from the top of the building at an initial velocity o

ss7ja [257]

Answer:

Time for the object to get h(max) s = 1.1875 sec

h (max) = 1272.57 feet

Down time for the object to hit the ground = 4.25 sec

Step-by-step explanation:

The relation

h(s) = - 16*s² + 38* s + 1250 (1)

Is equivalent to the equation for vertical shot

Δh = V(i)*t - 1/2g*t² (in this case we don´t have independent term since the shot is from ground level. We can see in (1), the independent term is 1250 feet ( the height of the empire state building), the starting point of the movement.

The description of the movement is:

V(s) = V(i) - g*s ⇒ V(s) = 38 - 32*s

At h(max) V(s) = 0 38/32 = s

So the maximum height is at s = t = 1.1875 sec

The time for the object to pass for starting point is the same

t = 1.1875 sec

h(max) is

h(max) = - 16* (1.1875)² + 38 (1.1875) + 1250

h(max) = - 22,56 + 45.13 + 1250

h(max) = 1272.57 feet

Time for the object to hit the ground is

h(s) = - 1250 feet

-1250 = - 16 s² + 38*s + 1250

-16s² + 38s = 0

s ( -16s + 38 ) = 0

First solution for that second degree equation is x = 0 which we dismiss

then

( -16s + 38 ) = 0 ⇒ 16s = 38 s = 38/16

s = 2.375 sec and we have to add time between h (max) and to get to starting point ( 1. 1875 sec)

total time is = 2.375 + 1.875

Total time = 4.25 sec

4 0

3 years ago

Each unit on the grid stands for one miles determine two ways to calculate the distance from josie's house to annies

Novosadov [1.4K]

I encountered this problem before but it had an accompanying image and list of answer choices.

I'll attach the image and include the list of options.

Each unit on the grid stands for one mile. Determine two ways to calculate the distance from Josie's house to Annie's house.
A) Distance Formula and Slope Formula
B) Midpoint Formula and Slope Formula
C) Distance Formula and Midpoint Formula
<span>D) Distance Formula and Pythagorean Theorem
</span>
My answer is: D.) Distance formula and Pythagorean Theorem.

When looking at the image, I can visualize a right triangle. I'll simply get the measure of the long and short legs and solve for the hypotenuse.
Since the distance formula is derived from the Pythagorean theorem, it can be used to determine the distance from Josie's house to Annie's house.