Evaluate the expression without using a calculator Tan(arccos3/4)

Mathematics

1 answer:

julia-pushkina [17]2 years ago

6 0

9514 1404 393

Answer:

(√7)/3

Step-by-step explanation:

The relationship between tangent and cosine is ...

tan(α) = √(1/cos(α)² -1)

The cosine of the angle is given as 3/4, so the tangent is ...

tan(arccos(3/4)) = √(1/(3/4)² -1) = √(16/9 -1) = √(7/9)

tan(arccos(3/4)) = (√7)/3

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Step-by-step explanation

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Describe the slope of the line<br> Find the slope

Dmitry_Shevchenko [17]

Answer:

Question one: Zero slope
Question two: $m=\frac{0}{4}$

Step-by-step explanation:

Given the following questions:

<u>Question one:

</u>The following line is what you call a "zero slope." Zero slopes are lines that are neither decreasing or increasing and remain at a constant or just a straight line.

Question two:

Point A = (-2, -3) = (x1, y1)
Point B = (2, -3) = (x2, y2)

Using the formula for slope or rise over run we will solve and find the slope of this line.

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$m=\frac{0}{4}$

The slope of this line is "0/4."

Hope this helps.