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Drupady [299]
3 years ago
13

Plzzzz help and I'll give you brainliest ​

Mathematics
1 answer:
sdas [7]3 years ago
3 0

Step-by-step explanation:

Left hand side:

4 [sin⁶ θ + cos⁶ θ]

Rearrange:

4 [(sin² θ)³ + (cos² θ)³]

Factor the sum of cubes:

4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]

Pythagorean identity:

4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]

Complete the square:

4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]

4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]

Pythagorean identity:

4 [1 − 3 sin² θ cos² θ]

Rearrange:

4 − 12 sin² θ cos² θ

4 − 3 (2 sin θ cos θ)²

Double angle formula:

4 − 3 (sin (2θ))²

4 − 3 sin² (2θ)

Finally, apply Pythagorean identity and simplify:

4 − 3 (1 − cos² (2θ))

4 − 3 + 3 cos² (2θ)

1 + 3 cos² (2θ)

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Is this possible<br> Iiii
Gwar [14]

Yeah Imao you usually do these type of questions on a calculator but I've tried writing it on a calculator and it keeps on saying "error" so I'm gonna guess the question is wrong or sth

but if you type out the question without the bracket before the 12 you'll get 6.63

anyway hope this helps- have a good day bro cya)

8 0
3 years ago
Graph y=8.5xy=8.5xy, equals, 8, point, 5, x.
Morgarella [4.7K]

Answer:

  • A, B, E

Step-by-step explanation:

<u>Given equation</u>

  • y = 8.5x

<u>Answer choices</u>

A. The equation represents a proportional relationship.

  • TRUE, it is in the form of y = kx

B. The unit rate of change of y with respect to x is 8.5

  • TRUE, y = mx + b, the slope m = 8.5 is the rate of change

C. The slope of the line is 2/17

  • False, the slope is 8.5

D. A change of 17 units in x results in a change of 2 units in y.

  • False, a change of x = 17 results in 17*8.5 = 144.5 units in y

E. A change of 4 units in x results in a change of 34 units in y.

  • TRUE, because 4*8.5 = 34
3 0
3 years ago
Joe is 10 years older than James and eight years twice Joe’s age will equal three times James eight how old is Joe now.
Lady_Fox [76]
Let James be x years old
Joe = 10 + x
After 8 years
18 + x = 3(x)
18 + x = 3x
18 = 2x
x = 9

Joe is 19
James is 9
6 0
3 years ago
There are between 24 and 40 students in a class
defon

<em><u>So</u></em><em><u>,</u></em><em><u>w</u></em><em><u>h</u></em><em><u>a</u></em><em><u>t</u></em><em><u>s</u></em><em><u> </u></em><em><u>your</u></em><em><u> </u></em><em><u>question</u></em><em><u>?</u></em><em><u>?</u></em><em><u>?</u></em><em><u>?</u></em>

8 0
3 years ago
Write the expression in radical form. <img src="https://tex.z-dn.net/?f=%2836x%29%5Cfrac%7B1%7D%7B2%7D" id="TexFormula1" title="
Ksenya-84 [330]
√36x

All under the radical
4 0
3 years ago
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