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3 years ago

Question is shown below!

Mathematics

1 answer:

sergey [27]3 years ago

6 0

The answer for the question is 3.8

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Prove that<br>{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)

USPshnik [31]

First, expand the terms inside the bracket you will get

$(( \tan {}^{2} (x) + 2 \tan(x) \sin(x) + \sin {}^{2} (x) - ( \tan {}^{2} (x) - 2 \tan(x) + \sin {}^{2} (x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$( 4 \tan(x) \sin(x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$16 \tan {}^{2} (x) \sin {}^{2} (x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$16 \tan {}^{2} (x) (1 - \cos {}^{2} (x) ) = 16 (\tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$16( \tan {}^{2} (x) - \frac{ \sin {}^{2} (x) \cos {}^{2} ( {x}^{} ) }{ \cos {}^{2} (x) }$

$16( \tan {}^{2} (x) - \sin {}^{2} (x) ) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

$16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$

5 0

2 years ago

How do I solve this?

grigory [225]

Answer:

x° = 54.5°

Step-by-step explanation:

The measure of angle x is half the difference of the intercepted arcs. The larger arc is shown as 141°. The smaller one must be computed from the arcs shown:

360° -187° -141° = 32°

So, the measure of x° is ...

x° = (141° -32°)/2

x° = 54.5°

6 0

2 years ago

there are 5 walnut trees currently in the park park workers will plant 8 more walnut trees today how many walnut trees will the

Salsk061 [2.6K]

Answer:13

Step-by-step explanation:

8 0

3 years ago

What is 12tenths+9tenths=_tenths=_ones_tenths

MArishka [77]

12/10 + 9/10 = 21/10

21/10 simplified is 2 1/10

7 0

3 years ago

Water has a density of about 0.0361 pounds/cubic inch. You might know that wood floats on water. What can you conclude about the

masya89 [10]

Answer:

Step-by-step explanation:

Objects that float on water have densities less than the density of water; those that do not float on water have densisties greater than the density of water:

Float on water: d < 0.0361 lb/in³ (where d denotes denisity)

Do not float on water: d > 0.0361 lb/in³

7 0

3 years ago