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Shtirlitz [24]
2 years ago
8

Type the correct answer in the box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use

/ for the fraction bar. Simplify the expression. tan(-x) cos(-x) =
Mathematics
2 answers:
aksik [14]2 years ago
4 0

Answer:

The correct simplification of the given expression  tan(-x){\times}cos(-x) is -sinx.

Step-by-step explanation:

The given expression is:

tan(-x){\times}cos(-x)

Now, simplifying the above given expression, we get

=\frac{sin(-x)}{cos(-x)}{\times}cos(-x) (because tanx=\frac{sinx}{cosx}})

=sin(-x)

Also, we know that sin({-\theta})=-sin{\theta}, tehrefore teh expression becomes

=-sinx

Hence, the correct simplification of the given expression  tan(-x){\times}cos(-x) is -sinx.

lidiya [134]2 years ago
3 0
THE ANSWER IS : sin(-x)

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Neporo4naja [7]
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7 0
3 years ago
In a circle, area and circumference can be found using the formulas A=(pi)r^2 and C=2(pi)r, respectively, Write a formula for A
AURORKA [14]

Answer:

A = \dfrac{C^2}{4\pi}

Step-by-step explanation:

Given that

Area of a circle A=\pi r^2

Circumference of the circle C = 2 \pi r

Let us re-write the equation of area of circle:

A=\pi r^2

A = \pi \times r \times r

Multiplying and dividing with 2:

A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}

Hence, <em>A</em> in terms of <em>C</em> can be represented as:

A = \dfrac{C^2}{4\pi}

4 0
3 years ago
How much is this per day 9908/365 round to whole number
Tom [10]

Answer:

27

Step-by-step explanation:

5 0
2 years ago
Curtis threw 15 darts at a dartboard. 40% of his darts hit the bull's-eye. How many darts did not hit the bull's-eye?
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Number of darts that hit the bull's eye = 15 x 40/100 = 6
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3 0
3 years ago
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Not an answer, but we need the info on the table...
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