All categories

2 years ago

Verify and show work csc x - cos x • cot x = sin x

Mathematics

1 answer:

Vladimir79 [104]2 years ago

5 0

Answer: The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

You might be interested in

HELP ME!!!

AVprozaik [17]

Answer:

Hi.. Your answer is last...

6x/8=3

3 0

3 years ago

Read 2 more answers

Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full cred

stira [4]

Answer: infinitely many solutions

Step-by-step explanation: 6y = -3x + 30 rewrites to 3x + 6y = 30

1. align equations x + 2y = 10

3x + 6y = 30

2. multiply first equation by -3 to get -3x - 6y = -30

3. align equations -3x - 6y = -30

3x + 6y = 30

4. add the equations and you they cancel out, which means infinitely many solutions

3 0

3 years ago

What’s the missing angle. Brainliest if your correct

stellarik [79]

We are given:

We know that the sum of all interior angles of a Pentagon is 540°

we are given 4 out of the 5 angles

Solving for x:

since the sum of all 5 angles is 540°:

75 + 130 + 135 + x + 90 = 540

x + 430 = 540

x = 540 - 430

x = 110°

6 0

2 years ago

There are 80 balloons used

quester [9]

Answer:

4 gallons per gift basket

Step-by-step explanation:

20 x 4 = 80

7 0

3 years ago

What are the integer solutions to the inequality below? 4x+1<5x≤3(x+2)

Sindrei [870]

Answer:

1<x≤3

Step-by-step explanation:

7 0

3 years ago