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Trava [24]
2 years ago
13

Lim x tends to π÷2 , then what is the value of (tanx + cotx) ÷ ( tanx - cotx)​

Mathematics
1 answer:
KiRa [710]2 years ago
8 0

(tan(<em>x</em>) + cot(<em>x</em>)) / (tan(<em>x</em>) - cot(<em>x</em>)) = (tan²(<em>x</em>) + 1) / (tan²(<em>x</em>) - 1)

… = (sin²(<em>x</em>) + cos²(<em>x</em>)) / (sin²(<em>x</em>) - cos²(<em>x</em>))

… = -1/cos(2<em>x</em>)

Then as <em>x</em> approaches <em>π</em>/2, the limit is -1/cos(2•<em>π</em>/2) = -sec(<em>π</em>) = 1.

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Answer:

A and B

Step-by-step explanation:

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What is the slope of a line perpendicular to the line whose equation is 6x+2y=−32. Fully simplify your answer.
Reika [66]

The slope of the line that is perpendicular to 6x + 2y = -32 is: 1/3.

<h3>What is the Slope of Perpendicular Lines?</h3>

The slope of two lines that are perpendicular to each other will always have a product that is equal to -1, which means that their slopes are negative reciprocals to each other.

Rewrite 6x + 2y = -32 in slope-intercept form:

2y = -6x - 32

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Therefore, the slope of the perpendicular line would be: 1/3.

Learn more about the slope of perpendicular lines on:

brainly.com/question/1362601

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5 0
1 year ago
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A boat is marked up 20% on the original price the original price was $50 what is the sale price of the boat before sales taxes
bezimeni [28]

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42.9

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3 years ago
7x+6= 5(x+2)<br>help me​
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\huge \pink{solution}

Given :7x+6=5(x+2)

Now We will use the distributive property to multiply 5 by x+2.

→7x+6=5x+10

We will Subtract 5x from both sides.

→7x+6−5x=10

We will Combine 7x and −5x to get 2x.

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We will Subtract 6 from both sides.

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At last,We Divide 4 by 2 to get 2.

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