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kvasek [131]
3 years ago
13

Simplify: (1-sin^2 x)/(1+tan^2 x)

Mathematics
1 answer:
Sonja [21]3 years ago
4 0

Answer:

cos^{4} x

Step-by-step explanation:

Using the trigonometric identities

1 + tan²x = sec²x and 1 - sin²x = cos²x

secx = \frac{1}{cosx}

Given

\frac{1-sin^2x}{1+tan^2x}

= \frac{cos^2x}{sec^2x}

= \frac{cos^2x}{\frac{1}{cos^2x} }

= cos²x × cos²x

= cos^{4} x

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The table below represents a function. Which of the following equations could be its function rule? PLS HELP!!
Sati [7]

Answer:

  y = -3x

Step-by-step explanation:

It is easiest to try the answers for x=1.

  a) y = 1/-3 = -1/3 ≠ -3

  b) y = 1 ≠-3

  c) y = 3(1) = 3 ≠ -3

  d) y = -3(1) = -3 . . . . . this rule matches the table

8 0
2 years ago
Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor
serious [3.7K]

Answer:

Victor's equation did not correctly model the problem.

The equation that correctly modeled the problem:

$129.85-$89.25=$40.60

Step-by-step explanation:

The amount required for bicycle purchase by Victor is $129.85 out of which $89.25 has been saved,in other words,the balance required for Victor to reach his target purchase price is the difference between the total cost of $129.85 and the $89.25 already saved.

The balance required=$129.85-$89.25=$40.6

This shows that the equation put forward by Victor is wrong.

An equation that correctly represents the problem is the difference between the target savings and the amount already saved as stated above

5 0
3 years ago
if silas sandwich measures, 3 yards 2 feets 3 inches, How many inches in total does silas sandwich measure
Reil [10]
<h3>Answer:  135  inches</h3>

========================================================

Work Shown:

1 yard = 3 feet

3 yards = 9 feet (multiply both sides by 3)

3 yards + 2 feet = 9 feet + 2 feet = 11 feet

1 foot = 12 inches

11 feet = 132 inches (multiply both sides by 11)

11 feet + 3 inches = 132 inches + 3 inches = <u>135 inches</u>

8 0
2 years ago
Plz help me get the right answer to these
adoni [48]

-8(-4) + y = 37

32 + y = 37

y = 5

when x = -4, y = 5

7 0
3 years ago
Read 2 more answers
Can someone PLEASE help with this one question!?
Vikentia [17]

Answer:

x^2= 25

x = 5

pls mark as brainliest

3 0
3 years ago
Read 2 more answers
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