Get everything together into one fraction by finding the LCD and doing the math. The LCD is sin(x) cos(x). Multiplying that in to each term looks like this:

$[sin(x)cos(x)]\frac{sin(x)}{cos(x)}+[sin(x)cos(x)]\frac{cos(x)}{sin(x)} =?$

In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:

$\frac{sin^2(x)}{sin(x)cos(x)}+\frac{cos^2(x)}{sin(x)cos(x)}=?$

Put everything over the common denominator now:

$\frac{sin^2(x)+cos^2(x)}{sin(x)cos(x)}=?$

Since $sin^2(x)+cos^2(x)=1$ , we will make that substitution:

$\frac{1}{sin(x)cos(x)}$

We could separate that fraction into 2:

$\frac{1}{sin(x)}$ × $\frac{1}{cos(x)}$

$\frac{1}{sin(x)}=csc(x)$ and $\frac{1}{cos(x)}=sec(x)$

Therefore, the simplification is

sec(x)csc(x)

5 0

3 years ago

Really really need help on ONE math graph question.

Nat2105 [25]

The answer is -3.5, 0.5

7 0

2 years ago

What is 784 divided 4

n200080 [17]

784/4 = 196

196 * 4 = 784

4 * 196 = 784

So the answer is : 196

8 0

2 years ago

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Please show all work and explanation. <img src="https://tex.z-dn.net/?f=6%5Cfrac%7B1%7D%7B4%7D-4%5Cfrac%7B3%7D%7B5%7D" id="Te

Olin [163]

Steps:

6 1/4 - 4 3/15 can also be written as 25/4 - 23/5

The LCD of 4 and 5 is 20.

That gives us 125/20 - 92/20.

Now, just subtract the numerators (leave the denominators the same).

That brings us to 33/20, which can be simplified to 1 13/20

Final Answer:

$1\frac{13}{20}$

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*Please mark brainliest if that helped!*

8 0

2 years ago

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