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Determine Whether the Statement Is True or False 2sin4t1=02 \sin 4 t - 1 = 0

question 41

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Determine whether the statement is true or false.Justify your answer. ​
The equation 2sin4t1=02 \sin 4 t - 1 = 0 has four times the number of solutions in the interval [0,2π) as the equation 2sint1=02 \sin t - 1 = 0 .


Definitions:

Capacitation

A physiological change that sperm must undergo to have the ability to penetrate and fertilize an egg.

Oocyte

A female germ cell involved in reproduction; an immature ovum (egg cell).

Sperm

The male reproductive cells or gametes involved in sexual reproduction, capable of fertilizing an ovum to produce offspring.

Fertilization

The process by which a sperm cell unites with an egg cell to form a zygote, initiating the development of a new organism.

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