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)
9x1=9
9-9(3n)
9-27n
Can’t be solved
Answer:
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Step-by-step explanation:
Answer:
Option B. The standard deviation of the number of floors per city is nothing.
Step-by-step explanation:
The standard deviation of a data set is the statistic that measures the deviance or dispersion of the data from the relative mean. In other words, it is is a measure of how spread the numbers are. The standard deviation is given by the following formula:
In this case, it is the deviation of the number of floors in the building in the city.
5600*.065=364 5600+364=$5964 in the account at the end of the year. ☺☺☺☺<span>
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