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3 years ago

Csc2theta=csctheta/2costhetaCan you help verify the identity

Mathematics

1 answer:

Yakvenalex [24]3 years ago

7 0

csc(2x) = csc(x)/(2cos(x))

1/(sin(2x)) = csc(x)/(2cos(x))

1/(2*sin(x)*cos(x)) = csc(x)/(2cos(x))

(1/sin(x))*1/(2*cos(x)) = csc(x)/(2cos(x))

csc(x)*1/(2*cos(x)) = csc(x)/(2cos(x))

csc(x)/(2*cos(x)) = csc(x)/(2cos(x))

The identity is confirmed. Notice how I only altered the left hand side (LHS) keeping the right hand side (RHS) the same each time.

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Find x such that 2x^2 +2x=12

solmaris [256]

Answer:

2 and -3

Step-by-step explanation:

2x^2=4x

4x+2x=12

6x=12

how many times does 6 go into 12?

right, 2 times!

x=2

---

2x^2+2x-12=0

x^2+x-6=0

(x+3)(x-2)=0

X=-3 and 2

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3 years ago

Jackson's puppy gains 104 pounds in 52 weeks. At that rate, how many pounds would his puppy gain in 40 weeks?

Soloha48 [4]

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3 years ago

Need help ASAP! Tysm

GuDViN [60]

Answer:

It is -7x + 5

Step-by-step explanation:

I could do a whole explanation, but I'm sure you want the answer quickly. So there ya go. Hope this helps!

4 0

3 years ago

3q+4+9=-14 <br> what is Q

BlackZzzverrR [31]

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

$\huge{3q+4+9=-14}$

We can add 4 and 9 together.

$\huge{3q+13=-14}$

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

$\huge{3q+13-13=-14-13}\\\huge{3q=-27}$

We are reaching to the final step where we divide the whole equation by 3.

$\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}$

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

$\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}$

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

5 0

3 years ago

A suit cost $95 Barry has a discount coupon for 10 %off and the city has 4.5%sales tax .what is the final cost of the suit?

torisob [31]

The final price would be 89.35

3 0

3 years ago