Mathematics

10th -

12thgrade

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Trigonometry: Cartesian Plane

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  • 1. Multiple Choice
    5 minutes
    1 pt

    Given: OP has been rotated through θ\theta  degrees such that OP has 8 units and P is the point (4;y) 
    O is the origin.
     θ ϵ [0°;90°]\theta\ \epsilon\ \left[0\degree;90\degree\right]  
    Without the use of a calculator, what is the value of tan θ\theta  

     434\frac{4\sqrt{3}}{4}  

     438\frac{4\sqrt{3}}{8}  

     48\frac{4}{8}  

  • 2. Multiple Choice
    5 minutes
    1 pt

    If  cosθ=725\cos\theta=\frac{7}{25}  and  θϵ[0°;90]\theta\epsilon\left[0\degree;90\right]  
    What is the value of  tanθ×cosθ\tan\theta\times\cos\theta  1

     2425\frac{24}{25}  

     2524\frac{25}{24}  

     2425-\frac{24}{25}  

     247\frac{24}{7}  

  • 3. Multiple Choice
    5 minutes
    1 pt

    If cosθ=725\cos\theta=\frac{7}{25} and  θϵ[0°;90°]\theta\epsilon\left[0\degree;90\degree\right]  
    What is the value of  sinθ\sin\theta  ?

     2425\frac{24}{25}  

     725\frac{7}{25}  

     724\frac{7}{24}  

     247\frac{24}{7}  

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