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devlian [24]
3 years ago
11

Verify sin4 x- sin2x = cos4x – cos2x is an identity

Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Step-by-step explanation:

sin⁴ x − sin² x

Factor:

(sin² x) (sin² x − 1)

Pythagorean identity:

(1 − cos² x) (-cos² x)

Distribute:

-cos² x + cos⁴ x

cos⁴ x − cos² x

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Are the polygons similar? If they are, choose the correct similarity statement and scale factor. Not drawn to scale.
Dvinal [7]

Option B: $\Delta R S T \sim \Delta UV W ; \frac{5}{6}$

Explanation:

The polygons are similar because in $\Delta R S T$, the measure of ∠R=32°

Also, in $\Delta U V W$, the measure of ∠U=32°

Now, we shall find the scale factor,

Since, $\Delta R S T \sim \Delta U V W$, then the sides are proportional which is given by,

\frac{RS}{UV}

Substituting the values of RS and UV from the figure, we get,

\frac{10}{12}

Simplifying, we have,

$\frac{5}{6}$

Thus, the scale factor is $\frac{5}{6}$

Hence, Option B is the correct answer.

8 0
4 years ago
A recipe that makes 8 jumbo blueberry muffins calls for 1.5 teaspoons of baking powder. How much baking powder is needed to make
Lunna [17]

Answer:

48 tsp + 0.75 tsp = 48.75 teaspoons :)

4 0
3 years ago
Read 2 more answers
Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in t
inn [45]
3 1/4 + 2 1/3 = 67/
12
= 5 7/12




Mark brainliest please


Hope this helps you
7 0
3 years ago
What is the end behavior of the graph?
hichkok12 [17]
Imagine that this curve is a roller coaster. A dot on the roller coaster would be a car for a person to sit in, so to speak. As this car moves to the right, the car ultimately moves downward. So this means that as x gets larger, y gets smaller. Put another way: as x approaches infinity, f(x) approaches negative infinity.

Similarly, we can move the other way to work our way to the left. Moving to the left has us go up this time. As x approaches negative infinity, f(x) approaches positive infinity

These two facts point to choice B as the final answer
8 0
3 years ago
-4(1.75+1x)=18 What does x equal
77julia77 [94]

Answer:

x = -6.25

Step-by-step explanation:

-4(1.75 + 1x) = 18

1.75 + 1x = 18/-4

1.75 - 1.75 + x = -4.5 - 1.75

x = -6.25

Answer:  x = -6.25

8 0
4 years ago
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