Year 12 Mathematics Quiz

The graph of y=sinx completes one full cycle over what interval?

• 0∘ to 90∘

• 0∘ to 180∘

• 0∘ to 270∘

• 0∘ to 360∘

What is the amplitude of y=3sinx?

• 1

• 3

• 0

• 2

The period of y=cos2x is

• 180∘

• 90∘

• 360∘

• 720∘

The maximum value of y=-4sinx is

• 4

• -4

• 0

• 1

The graph of y=tanx has vertical asymptotes at

• x=0∘,180∘,360∘

• x=90∘,270∘,450∘

• x=0∘,90∘,180∘

• x=180∘,360∘,540∘

If sinθ=0.6, find cosθ given that θ is in the first quadrant.

• 0.8

• 0.75

• 0.9

• 1.2

If tanx=34, what is sinx?

• 35

• 45

• 53

• 34

Which identity is correct?

• sin2x+cos2x=1

• sin2x-cos2x=1

• tanx=sinx+cosx

• sinx=tanxcosx

Solve for x in cosx=0.5 for 0∘≤x≤360∘.

• 30∘,150∘

• 60∘,300∘

• 45∘,225∘

• 90∘,270∘

The value of sin90∘ is

• 0

• 1

• -1

• 12