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Math Help - sin, cos, tan of terminal angles

  1. #1
    keg
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    Exclamation sin, cos, tan of terminal angles

    If the terminal side of an angle of t radians in standard position passes through the point (6,-8) then cos t = ___

    If the terminal side of an angle of t radians in standard position passes through the point (-2,3) then tan t = ___

    If the terminal side of an angle of t radians in standard position passes through the point (1.2,3.5) then sin t = ___

    Answers would be nice, but explanation is key here! Test tomorrow and i don't understand this at all. Thanks in advance!
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by keg View Post
    If the terminal side of an angle of t radians in standard position passes through the point (6,-8) then cos t = ___

    If the terminal side of an angle of t radians in standard position passes through the point (-2,3) then tan t = ___

    If the terminal side of an angle of t radians in standard position passes through the point (1.2,3.5) then sin t = ___

    Answers would be nice, but explanation is key here! Test tomorrow and i don't understand this at all. Thanks in advance!
    Hi keg,

    Look at the attachments.
    Attached Thumbnails Attached Thumbnails sin, cos, tan of terminal angles-tan.jpg   sin, cos, tan of terminal angles-sin.jpg   sin, cos, tan of terminal angles-cos.jpg  
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  3. #3
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    basic definition for the trig ratios of an angle in standard position whose terminal side passes through the point (x,y) ...

    \cos(t) = \frac{x}{r}

    \sin(t) = \frac{y}{r}

    \tan(t) = \frac{y}{x}

    where r = \sqrt{x^2+y^2}
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