Trigonometric Equations and Identities

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Question 1

Which of the following is equivalent to [Tex] (\sin^2 \theta + \cos^2 \theta)[/Tex]

  • A

    1

  • B

    0

  • C

    [Tex]\sin \theta[/Tex]

  • D

    [Tex]\cos \theta[/Tex]

Question 2

Which value of (x) satisfies the equation (sin x = 0) within the interval ([0, pi])?

  • A

    0

  • B

    [Tex]\frac{\pi}{2}[/Tex]

  • C

    (pi)

  • D

    Both A and C

Question 3

Which value satisfies the equation [Tex] (cos 2\theta = \frac{1}{2})[/Tex]?

  • A

    [Tex](\frac{\pi}{6}, \frac{5\pi}{6})[/Tex]

  • B

    [Tex](\frac{\pi}{3}, \frac{2\pi}{3})[/Tex]

  • C

    [Tex](\frac{\pi}{4}, \frac{3\pi}{4})[/Tex]

  • D

    [Tex](\frac{\pi}{3}, \frac{5\pi}{3})[/Tex]

Question 4

If cos θ = 0.6, what is cos 2θ?

  • A

    0.2

  • B

    0.64

  • C

    -0.28

  • D

    0.28

Question 5

What is [Tex]\tan \theta \cdot \cot \theta[/Tex] equal to?

  • A

    1

  • B

    0

  • C

    [Tex](\sin \theta)[/Tex]

  • D

    [Tex](\cos \theta) [/Tex]

There are 5 questions to complete.

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