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pochemuha
2 years ago
8

3sina-4sin4a/sin5a if a=-45 degree

Mathematics
1 answer:
Ierofanga [76]2 years ago
8 0

Given:

The given expression is:

\dfrac{3\sin a-4\sin 4a}{\sin 5a}

To find:

The value of the given expression at a=-45.

Solution:

We have,

\dfrac{3\sin a-4\sin 4a}{\sin 5a}

Substituting a=-45, we get

\dfrac{3\sin (-45)-4\sin [4(-45)]}{\sin [5(-45)]}

=\dfrac{-3\sin (45)+4\sin (180)}{-\sin (225)}

=\dfrac{-3\sin (45)+4\sin (180)}{-\sin (180+45)}

=\dfrac{-3\sin (45)+4\sin (180)}{\sin (45)}

On substituting \sin (180), we get,

=\dfrac{-3\sin (45)+4(0)}{\sin (45)}

=\dfrac{-3\sin (45)+0}{\sin (45)}

=\dfrac{-3\sin (45)}{\sin (45)}

=-3

Therefore, the value of the given expression at  a=-45 is -3.

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This Venn diagram shows sports played by 10 students.
labwork [276]

Answer:

B \frac{7}{10}

Step-by-step explanation:

Event A = 2

Event B = 3

Ian and Ella play both so that would add 2 more people.

Total who play soccer or basketball = 7

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Total amount of people who took the survey = 10

= \frac{7}{10}

7 0
3 years ago
Line AB is Perpendicular to line BC. A=(-3,2) and C=(2,7). Which of the following could be the coordinates of B? Select all that
Llana [10]

Answer:

The answer would be Choice F; (-3,7)

Step-by-step explanation:

  1. Plot the two guaranteed given points
  2. A, (-3,2) and C, (2,7)
  3. Find the point where the x and y would share and then form a right angle. This is called being Perpendicular.
  4. So, take the <em>x</em> of A, and the <em>y</em> of C and you have the coordinates of B.

(-3,7)

6 0
2 years ago
Read 2 more answers
A bus needs to cover a distance of 240 km in less than 5 hours. Which of the following inequality represents the speed (s) of th
Len [333]

Answer:

Step-by-step explanation:

Let s represent the speed of the bus.

From the information given, the bus needs to cover a distance of 240 km in less than 5 hours. The formula for calculating the speed of the bus, s is expressed as

Speed, s = distance covered by the bus/ time taken to cover the distance

Therefore,

Speed, s = 240/5 = 48 km/hr

A higher speed would ensure the bus covers the distance in less than 5 hours. Therefore, the inequality that represents the speed (s) of the bus would be

s ≥ 48

7 0
3 years ago
F(x)=
muminat

Answer:

f(g(-7))

Step-by-step explanation:

7 0
3 years ago
A box has a base of 12 inches by 12 inches and a height of 30 inches. What is the length of the interior diagonal of the box? Ro
Wittaler [7]

The sides of the box are 12in by 12in by 30in.

The interior diagonal =[12^2+12^2+30^2]0.5

=[144+144+900]^0.5

=1188^0.5

The final answer is 34.47in.

My deepest apology if this is not what you meant.

= 34.47in.

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3 years ago
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