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21 June, 16:55

Which trigonometric functions are equivalent to sin (theta) ? Select all that apply. (2 correct answers)

a.) sin (-theta)

b.) sin (theta + 2pi)

c.) - sin (theta)

d.) - sin (-theta)

e.) sin (theta + pi/2)

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Answers (1)
  1. 21 June, 17:21
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    sin (θ) = sin (θ + 2π) = - sin (-θ)

    b and d

    This can be shown by substituting a value for θ

    sin (π : 3) = 1/2

    sin (π : 3 + 2π) = 1/2

    -sin (π : 3) = - 1/2

    -sin (-π : 3) = 1/2

    sin (π : 3 + π : 2) = √3/2
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