trig

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Since cot x = cos x / sin x, if cot x = 1/2, with the angle x in the first quadrant,
then cos x = 1 and sin x = 2

(1) State true or false. Is this a possible situation?

(2) If false, explain why.

  • trig -

    no way!

    sinx x has to be a value between -1 and +1, can't be 2

    since cot x = 1/2 ---> opposite = 2, adjacent = 1

    construct a triangle with sides 1 and 2, the hypotenuse then is √5
    cosx = 1/√5
    sinx = 2/√5

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