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Olegator [25]
2 years ago
9

Would appreciate the help ! ​

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
3 0

This is one pathway to prove the identity.

Part 1

\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{1}{\tan(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\cot(\theta) = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{\cos(\theta)}{\sin(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)*\sin(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)(1-\cos(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\

Part 2

\frac{\sin^2(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)-\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-(\cos(\theta)-\cos^2(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-\cos(\theta)+\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\

Part 3

\frac{\sin^2(\theta)+\cos^2(\theta)-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1}{\sin(\theta)} = \frac{1}{\sin(\theta)} \ \ {\checkmark}\\\\

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.

We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity \sin^2(\theta)+\cos^2(\theta) = 1 in the second to last step. I broke the steps into three parts to hopefully make it more manageable.

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Find the number of sides when:
svp [43]
((n-2)×180)/n = 156
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24n =360
n =15

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n = 10

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7 0
3 years ago
Can somebody pls help me.. ​
ale4655 [162]
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2 years ago
What is the y and x intercept for f(x)=3x-2 find f(-5)​
masya89 [10]

Answer:  The y- intercept is -2.  The x-intercept is 2/3

The attachment shows the solutions.

Step-by-step explanation:  The y-intercept is the "b" term in the slope-intercept form of the equation. To find the x-intercept, substitute 0 for the output and solve for x.

0 = 3x -2 . Add 2 to both sides

2 = 3x . Divide both sides by 3

2/3 = x   the x-intercept is 2/3

To find f(-5) substitute -5 for x and solve.

f(-5) = 3(-5) -2

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f(-5) = -17

5 0
2 years ago
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madam [21]

Answer:

274878070200

Step-by-step explanation:

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4194304/0.00001525878 = 274878070200

3 0
3 years ago
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AleksAgata [21]

Answer:could u send a pic of assignment

Step-by-step explanation:

4 0
3 years ago
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