Answer:
I think the answer is -32.
Step-by-step explanation:
I'm not sure.
Answer:
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
Start on the left side.
1
+
sec
2
(
x
)
sin
2
(
x
)
Convert to sines and cosines.
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1
+
1
cos
2
(
x
)
sin
2
(
x
)
Write
sin
2
(
x
)
as a fraction with denominator
1
.
1
+
1
cos
2
(
x
)
⋅
sin
2
(
x
)
1
Combine.
1
+
1
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
sin
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
cos
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
Apply Pythagorean identity in reverse.
1
+
1
−
cos
2
(
x
)
cos
2
(
x
)
Simplify.
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1
cos
2
(
x
)
Now consider the right side of the equation.
sec
2
(
x
)
Convert to sines and cosines.
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1
2
cos
2
(
x
)
One to any power is one.
1
cos
2
(
x
)
Because the two sides have been shown to be equivalent, the equation is an identity.
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
is an identity
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The given expression is
.
We need to simplify the given expression.
<h3>What is a rational number?</h3>
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Now group the rational numbers ![(\frac{-4}{5}\times \frac{15}{16} ) \times (\frac{3}{7}\times (\frac{-14}{9}))](https://tex.z-dn.net/?f=%28%5Cfrac%7B-4%7D%7B5%7D%5Ctimes%20%5Cfrac%7B15%7D%7B16%7D%20%29%20%5Ctimes%20%28%5Cfrac%7B3%7D%7B7%7D%5Ctimes%20%28%5Cfrac%7B-14%7D%7B9%7D%29%29)
![=(\frac{-4}{16}\times \frac{15}{5} ) \times (\frac{3}{9}\times (\frac{-14}{7}))](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B-4%7D%7B16%7D%5Ctimes%20%5Cfrac%7B15%7D%7B5%7D%20%29%20%5Ctimes%20%28%5Cfrac%7B3%7D%7B9%7D%5Ctimes%20%28%5Cfrac%7B-14%7D%7B7%7D%29%29)
![=(\frac{-1}{4}\times \frac{3}{1} ) \times (\frac{1}{3}\times (\frac{-2}{1}))](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B-1%7D%7B4%7D%5Ctimes%20%5Cfrac%7B3%7D%7B1%7D%20%29%20%5Ctimes%20%28%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20%28%5Cfrac%7B-2%7D%7B1%7D%29%29)
![=(\frac{-3}{4} ) \times (\frac{-2}{3})=\frac{1}{2}](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B-3%7D%7B4%7D%20%29%20%5Ctimes%20%28%5Cfrac%7B-2%7D%7B3%7D%29%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore, the simplified value of the given expression is
.
To learn more about the rational numbers visit:
brainly.com/question/17450097.
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