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Math Help - Homework Help

  1. #1
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    Homework Help

    A couple more questions giving me problems in my homework, please be very explanatory!

    1. Consider the circle given by . Determine the equation of the transformed function if the graph undergoes a horizontal stretch by a factor of 1/2, vertical stretch by a factor of 3, horizontal translation of 1 unit right and a vertical translation 4 units down.

    2. Angle has a terminal arm in the third quadrant. If , find the values of the remaining five primary and reciprocal trigonometric ratios.

    Thank you for all your help in advance!
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  2. #2
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    Re: Homework Help

    Write it as y^2=1-x^2
    Learn the following steps because they would apply whatever the question.
    1 Replace x by 2x (so x^2 becomes (2x)^2=4x^2
    2 We need the 3 times the expression for y ( so y^2 will get multiplied by 9)
    3 Replace x by (x-1)
    4 Replace y by (y+4)
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  3. #3
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    Re: Homework Help

    In the 3rd quadrant tan and therefore cot are positive, sin and cosec are negative, cos and sec are negative. I'll write x instead of theta.
    cotx=12/5 so tanx=5/12
    sec^2x=1+tan^2x=1+25/144=169/144 So secx =+or-13/12 We know in 3rd quadrant it is negative. So secx=-13/12 and cosx=-12/13
    sin^2x=1-cos^2x=1-144/169=25/169 So sinx=+or-5/13 In 3rd quadrant is - So sinx=-5/13 and cosecx=-13/5
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