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Novay_Z [31]
3 years ago
14

Math is genially hard

Mathematics
1 answer:
Sveta_85 [38]3 years ago
4 0
Answer: Charlotte 7
Explanation:
we need to find p
36=29+p
subtract 29 from both sides
7=p
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Anastaziya [24]

The simplified expression is the one in option B.

<h3>How to simplify the expression?</h3>

Remember that:

sec(x) = 1/cos(x)\\\\cos(x) = cos(-x)

With these two, we can rewrite the numerator as:

sec(x)*sin(-x) + tan(-x)\\\\\frac{1}{cos(x)}*sin(-x) + tan(x)\\\\\frac{1}{cos(-x)}*sin(-x) + tan(-x)\\\\2*tan(-x)

Replacing that in the given expression, we have:

\frac{2*tan(-x)}{1 + sec(-x)} = \frac{2*tan(-x)}{1 + 1/cos(-x)}

Now, if we multiply and divide by cos(-x), we get:

\frac{2*tan(-x)}{1 + 1/cos(-x)} =  \frac{2*tan(-x)}{1 + 1/cos(-x)}*\frac{cos(-x)}{cos(-x)} \\\\= \frac{2*sin(-x)}{1 + cos(-x)}

Now remember that:

cos(x) = cos(-x)\\sin(-x) = -sin(x)

With these two properties:

\frac{2*sin(-x)}{1 + cos(-x)} = \frac{-2*sin(x)}{1 + cos(x)}

Then the correct option is B.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

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Please help!!!!!!!!!!!!!!!!!!!!!!
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Answer:

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Step-by-step explanation:

I really hope this helps have a great afternoon:)

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