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    mwilliams15's Avatar
    mwilliams15 Posts: 172, Reputation: 24
    Junior Member
     
    #1

    Oct 17, 2007, 07:55 PM
    Trig problems!
    How do you do these 2 types of problems
    1.) sin (t)= -sqrt 3/2

    sin (t)= sqrt 2/2

    2.) (cos (t))^2= 1/2

    Answers have to be in radians.. please help :(
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Oct 18, 2007, 05:53 AM
    You should carefully read your text book and focus on the definitions of sin and cosine, as well as the definition of radians. I'll give you a hint on the second problem here. If [cos(t)]^2 = 1/2, then cos(t) = sqrt (1/2). From the definition of he cosine, that means that the ratio of the adjacent side to the hypotenuse is 1/sqrt(2). So what would the length of the opposite side of the triangle be? Use Pythagorean's theorem to find that, and then ask yourself, what must the angle be to have a triangle with these lengths of sides?

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