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3 years ago

Verify that -tan2x = (2tanx) / (sec^2x - 2)

Mathematics

1 answer:

sashaice [31]3 years ago

8 0

Answer:

Below.

Step-by-step explanation:

- tan 2x = -2tanx / (1 - tan^2x)

Using the identity tan^2x = sec^2x - 1 and substituting for tan^2x:

- tan 2x = -2 tanx / (1 - (sec^2x - 1))

= 2 tanx / ( - 1(sec^2x + 2))

= 2 tan x / (sec^2 x - 2)

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Solve the equation. 4(x − 7) − 128 = 9x − 5(x + 6)

vichka [17]

The equation 4(x − 7) − 128 = 9x − 5(x + 6) has no solution

<h3><u>Solution:</u></h3>

Given that 4(x − 7) − 128 = 9x − 5(x + 6)

We have to find the solution for this equation

4(x − 7) − 128 = 9x − 5(x + 6)

Let us use BODMAS rule to perform the sequence of operations

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.

So let us solve for brackets first

4x - 28 - 128 = 9x - 5x - 30

Now let us perform subtraction

4x - 156 = 4x - 30

Now move the terms from R.H.S to L.H.S

4x - 4x = -30 + 156

$0 \neq 126$

Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”

So this equation has no solution

4 0

4 years ago

a rectangles length is 4 times bigger than its width. if the width is 3.5cm. what is the perimeter and area of the rectangle

user100 [1]

Step-by-step explanation:

Length of rectangle = 4 * 3.5cm = 14cm.

Perimeter of rectangle = 2(14 + 3.5) = 35cm.

Area of rectangle = 14 * 3.5 = 49cm².

5 0

3 years ago

If the triangle measure 180 degrees. What is the missing angle?

max2010maxim [7]

Answer:

116

Step-by-step explanation:

36+28=64

180-64=116

3 0

3 years ago

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Make a tree diagram to show sample space. Then select the total number of outcomes.

34kurt

The answer is 20 not 5 or 15 or 10

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3 years ago

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A kite on a 100-foot string is fastened to the ground, making a 25° angle with the ground. To the nearest tenth of a foot, how h

lozanna [386]

Answer: 42.3 ft

<u>Step-by-step explanation:</u>

Draw a picture (see attachment)

Given: angle = 25°, hypotenuse = 100, opposite = ???

$\sin\theta=\dfrac{opposite}{hypotenuse}\quad \rightarrow \quad \sin25^o=\dfrac{y}{100}\quad \rightarrow \quad 100\ \sin 25^o=y\\$

$\large\boxed{42.3\ ft}=y$

5 0

3 years ago