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3 years ago

1-cos(12x)= A. 2sin^2(6x) B. 2cos^2(6x) C. 2cos^2(12x) D. 2sin^2(12x)

Mathematics

2 answers:

Ksivusya [100]3 years ago

7 0

Answer: The correct option is (A). 2sin²(6x).

Step-by-step explanation: We are given the value of the following trigonometric expression:

$T_e=1-\cos(12x).$

We will be using the following trigonometric identity:

$1-\cos x=2\sin^2\dfrac{x}{2}.$

So, we have, using the above identity that

$T_e\\\\=1-\cos(12x)\\\\=2\sin^2\left(\dfrac{12x}{2}\right)\\\\=2\sin^2(6x).$

Therefore, the value of 1-cos(12x) is 2sin²(6x).

Thus, (A) is the correct option.

Y_Kistochka [10]3 years ago

3 0

Cos(12x) = cos(6x+6x) = cos6xcos6x -sin6xsin6x = cos^2(6x) -sin^2(6x)

1 - cos(12x) = 1 - (cos^2(6x) -sin^2(6x)) = sin^2(6x) +cos^2(6x) - cos^2(6x) +sin^2(6x) = 2sin^2(6x)

so choice A. is right sure

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In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,

Anna35 [415]

Answer:

a) ∠A = 82.2° , ∠C = 62.8° , c = 17.01

Step-by-step explanation:

Explanation:-

Step(i):-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11

By using sine rule

$\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{Sin C} = 2 R$

now we will use

$\frac{a}{sin A} = \frac{b}{sin B}$

$\frac{19}{sin A} = \frac{11}{sin 35}$

cross multiplication , we get

$\frac{19 X sin 35}{11} = sinA$

sin A = 0.990

A = sin⁻¹( 0.990) = 82.2°

∠A = 82.2°

Step(ii):-

we know that ∠A +∠B +∠C = 180°

∠C = 180° - ∠A -∠B

∠C = 180° -82.2°-35°

∠C = 62.8°

Step(iii):-

we will use formula

$\frac{b}{sin B} = \frac{c}{Sin C}$

$\frac{11}{sin 35} = \frac{c}{Sin 62.8}$

$\frac{11 X sin (62.8)}{sin 35} = C$

c = 17.01

Final answer:-

∠A = 82.2° , ∠C = 62.8° , c = 17.01

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3 years ago

11 A freezer was set at -4.5°F then lost power for 2 hours. In that

sergey [27]

Answer:

-0.8⁰F

You subtract 3.7 from 4.5 and you get 0.8 and you add a negative sign because -4.5 is bigger than positive 3.7

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3 years ago

Just a bunch of easy ones

Scilla [17]

Answer:

1. 5lb bag is cheaper

2. 6 mpm (minutes per miles)

3. Brycen

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5. 32 total shapes

6. 75

7. not enough info

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9. 2

10. 2

Step-by-step explanation:

3lb=$3.54=1lb=$1.18

5lb=$5.85=1lb=$0.85

12 minutes/2 miles=6 mpm

24 minutes/1 mile=24 mpm

24-6=18 mpm faster

25% of 100= 4

4×8=32

60% of 80= 75

process of elimination:

24.5 is less than 35 so no

50×.7=35, total miles is 50

5 0

3 years ago

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The sum of the measures of three adjacent angles is 150°.The measures of the angles are in the ratio of 1 : 2 : 3. What is the m

taurus [48]

Answer:

3=75 degrees

Step-by-step explanation:

1+2+3=6

1*150/6=25degrees

2*150/6=50 degrees

3*150/6=75 degrees

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2 years ago

5 (2x + 10) = 50 What is the answer

KATRIN_1 [288]

9514 1404 393

Answer:

x = 0

Step-by-step explanation:

You can eliminate parentheses and subtract 50.

5(2x +10) = 50

10x +50 = 50 . . . . use the distributive property

10x = 0 . . . . . . . . . subtract 50 from both sides

x = 0 . . . . . . . . . . . divide by 10

Check

5(2·0 +10) = 50

5(10) = 50 . . . . true

5 0

2 years ago