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:
1 oz of soda costs about $0.13
Step-by-step explanation:
32 oz = $4.00
Divide each side by 32 to simplify.
1 oz = $0.125
$0.125 ≈ $0.13
Answer:
x=-4
Step-by-step explanation:
-18=2+5x
Subtract 2 from both sides
-20=5x
-4=x
Answer:
the first one is 8 and 9
the second one is 13 and 14
Step-by-step explanation:
8^2 is equal to the square root of 64 and 9^2 is equal to the square root of 81.
13^2 is equal to the square root of 169 and 14^2 is equal to the square root of 196.
hope this helps and is correct.
Answer: option d.
Step-by-step explanation:
To solve this problem you must keep on mind the properties of logarithms:
Therefore, knowing the properties, you can write the expression gven in the problem as shown below:
Then, the answer is the option d.
