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Juli2301 [7.4K]
3 years ago
11

Q6 Q1.) Use the​ power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of t

rigonometric functions greater than 1.

Mathematics
2 answers:
anyanavicka [17]3 years ago
7 0

Using sin2A=2sinAcosB and sin^2A=[1-cos(2A)]/2

16sin^2(x)cos^2(x) = 4[(2sin(x)cos(x)][2sin(x)cos(x)]

=4sin^2(2x)

=2(1-cos4x)



lisabon 2012 [21]3 years ago
3 0
16sin^2(x)cos^2(x)
= 16sin^2(x)(1-sin^2(x))
= 16sin^2(x) - 16sin^4(x)
w/ 2nd n 4th power reduction forumla of sine
= 16(1-cos(2x))/2 - 16(3-4cos2x+cos4x)/8
= 8(1-cos(2x)) - 2(3-4cos2x+cos4x)
= 8 - 6 - 8cos2x + 8cos2x - 2cos4x
= 2 - 2cos4x

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Choose the best answer:
Oksi-84 [34.3K]

Answer:

The length of the hypotenuse is 2 square root of 13 ⇒ c

Step-by-step explanation:

The rule of the area of the right triangle is A = \frac{1}{2} × leg1 × leg2, where

leg1 and leg2 are the sides of the right angle

∵ The area of a right triangle is 12 in²

∵ The ratio of the length of its legs is 2: 3

→ Let leg1 = 2x and leg2 = 3x

∵ leg1 = 2x and leg2 = 3x

→ Substitute them in the rule of the area above

∴ 12 = \frac{1}{2} × 2x × 3x

∵ 2x × 3x = 6x²

∴ 12 =  \frac{1}{2} × 6x²

∴ 12 = 3x²

→ Divide both sides by 3 to find x²

∴ 4 = x²

→ Take √ for both sides

∴ x = 2

→ Substitute x in the expressions of leg1 and leg2 to find them

∴ leg1 = 2(2) = 4 inches

∴ leg2 = 3(2) = 6 inches

∵ hypotenuse = \sqrt{(leg1)^{2}+(leg2)^{2}}

∴ hypotenuse = \sqrt{(4)^{2}+(6)^{2}}=\sqrt{16+36}=\sqrt{52}

∵ The simplest form of \sqrt{52} = 2\sqrt{13}

∴ The length of the hypotenuse = 2\sqrt{13} inches

3 0
2 years ago
-10 F is colder than -4 degrees?
Aleks04 [339]

Answer: yes, it is a smaller temperature, which means that is "colder"

Step-by-step explanation:

I guess that the question is:

Is -10°F colder than - 4°C?

Ok, when we have a temperature T in Celcius, the equation to transform this quantity to the Fahrenheit scale is:

T' = (T*9/5) + 32°

Replacing T by the temperature in celcius, we get:

T' = (-4°*9/5) + 32° = 24.8°F

This means that -4°C is equivalent to 24.8°F

And -10°F is a smaller value than 24.8°F (which mean that is colder)

This implies that -10°F is colder than -4°C

Then the statement is true.

4 0
3 years ago
The graph shows a line and two similar triangles.
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Answer:

y=1/3x+2

Step-by-step explanation:

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There are 8 brooms in a janitors closet . What is the ratio of the number of mops to the number of brooms
wariber [46]

Answer:

the actual answer is 3/7

Step-by-step explanation:

3 0
3 years ago
In the equation 6x â 2 = â4x + 2, spencer claims that the first step is to add 4x to both sides. jeremiah claims that the first
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Sample Response: Both are correct. As long as inverse operations and the properties of equality are used properly, both methods will generate the same solution. They both isolate the variable on one side of the equation.

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