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iragen [17]
3 years ago
11

Which of the following is equivalent to the expression í^22

Mathematics
2 answers:
Anika [276]3 years ago
7 0

Answer: -1

Step-by-step explanation:

i^22

(i²)^11

(-1)^11 ( NOTE: i² = -1 )

(-1)^(10+1)

(-1)^10 × (-1)^1

((-1)²)^5 × -1

1^5 × -1

-1

ale4655 [162]3 years ago
6 0

Answer:

i^{22}=i^{2*11}\\\\=(i^{2})^{11}\\\\=(-1)^{11}=-1

Step-by-step explanation:

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Answer: option D

Step-by-step explanation:

Remember the cosine identity:

cos\alpha=\frac{adjacent}{hypotenuse}

Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:

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Now you can substitute values into  cos\alpha=\frac{adjacent}{hypotenuse} and then reduce the fraction.

THerefore you get:cos(F)=\frac{15}{25}\\\\cos(F)=\frac{3}{5}

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Answer:

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