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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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Cheryl climbed a set of stairs and stopped at the middle step. She then walked down 2 steps, up 4 steps, down 3 steps, and up 5
Sedaia [141]

Answer:

There were 8 total steps

Step-by-step explanation:

Okay, so we start in the middle.

-2 + 4 = 2. We're back in the middle.

2 - 3 = -1. One away from the middle.

-1 + 5 = 4. Now you're at the top.

4 x 2 = 8

5 0
3 years ago
Last one guys I promise lol. btw helpp
Marianna [84]
63 dollars 3 hours

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8 0
2 years ago
Solve. Justify your responses. a Given:a║b and c║d, m∠ 4=35° Find: m∠1, m∠2, and m∠3
STALIN [3.7K]

Answer:

<em>m∠1 =  90°</em>

<em>m∠2 = 35°</em>

<em>m∠3 = 55°</em>

Step-by-step explanation:

Find the diagram attached

From the diagram:

m

Given that <4 = 35°

m

The sum of the angle on a straight line at point A is 180°. Hence:

90+m

The sum of angle in the triangle ABC is 180°, hence;

m

7 0
2 years ago
Please help. Find the value of x
enot [183]

21x is 21x im glad that I can help you

8 0
3 years ago
Help me yall plsplsplpsls
Ostrovityanka [42]

Answer:

no you cant use these three ratios for any right triangle

Step-by-step explanation:

Ratios: 0.38, 0.93, 0.36

            I\

0.38    I    \  0.93        right triangle

            I        \

            I_____\

              0.36

so this means a^2 + b^2 = c^2 would be true if these ratio worked

(0.36)^2 + (0.38)^2 = (0.93)^2

0.1296 + 0.1444 = 0.8649             NOT TRUE

6 0
2 years ago
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