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Math Help - Quadrant

  1. #1
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    Quadrant

    Can anyone answer the following 3 questions? And state quadrant?


    (1) Sin 186


    (2) tan 150


    (3) cos(-65)
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  2. #2
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    Re: Quadrant

    Let's look at the quadrants first...assuming the arguments are in degrees, can you state what range of degrees the 4 quadrants encompass, for 0^{\circ}\le\theta<360^{\circ}?
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  3. #3
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    Re: Quadrant

    I have an idea just wanted to see if I was correct without actually embarrassing myself. Can you answer the first question number 1?
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: Quadrant

    Quadrant I: 0^{\circ}<\theta<90^{\circ}

    Quadrant II: 90^{\circ}<\theta<180^{\circ}

    Quadrant III: 180^{\circ}<\theta<270^{\circ}

    Quadrant IV: 270^{\circ}<\theta<360^{\circ}

    So, in which quadrant is 186^{\circ}? And don't worry about embarrassing yourself, there is no shame in asking questions, the only shame is in not asking when you don't know.
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  5. #5
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    Re: Quadrant

    Lol ok cool I have no idea when it comes to sin 186... Or which quadrant it would be in.
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  6. #6
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    Re: Quadrant

    Which range of values does 186 match? Is it in between 0 and 90, or in between 90 and 180, or in between 180 and 270, or in between 270 and 360?
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    Re: Quadrant

    Guessing 3rd quadrant 180 and 270
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  8. #8
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    Re: Quadrant

    Yes, since 180 < 186 < 270, we know 186 is a quadrant III angle. As such, what can we expect the sign of sin(186) to be? Will it be negative or positive?
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  9. #9
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    Re: Quadrant

    Negative?
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  10. #10
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    Re: Quadrant

    So is that the answer?
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  11. #11
    MHF Contributor MarkFL's Avatar
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    Re: Quadrant

    Are you instructed to use your calculator to get a decimal approximation or to use identities to obtain an exact answer?
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