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Math Help - secant / cosine functions

  1. #1
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    secant / cosine functions

    I know this may seem pretty basic but I really don't understand how to estimate these values. I need to know more about the process than just the answers, thanks!

    sec 67.43 = ?

    If csc θ = 3.164, then θ=?
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  2. #2
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    Quote Originally Posted by kevin11 View Post
    I know this may seem pretty basic but I really don't understand how to estimate these values. I need to know more about the process than just the answers, thanks!

    sec 67.43 = ?

    If csc θ = 3.164, then θ=?
    hi

    are you allowed to use the calculator ?

    sec 67.43 = 1/ (cos 67.43) = 1/0.3838 = 2.61

    csc θ = 1/ sin θ

    sin θ = 1/3.164 = 0.316

    θ = arc sin 0.316 (Press shift , then cos 0.316 )
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  3. #3
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    ok thanks for your reply, and yes we are allowed to use calculators. But I'm not sure what you mean by 'θ = arc sin 0.316 (Press shift , then cos 0.316 )'. is that the sin with the little -1 (sin^-1(0.316))?

    Also, is there a way to express this in terms of pi?
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  4. #4
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    Quote Originally Posted by kevin11 View Post
    ok thanks for your reply, and yes we are allowed to use calculators. But I'm not sure what you mean by 'θ = arc sin 0.316 (Press shift , then cos 0.316 )'. is that the sin with the little -1 (sin^-1(0.316))? Yes

    Also, is there a way to express this in terms of pi?
    To express in terms of pi , you have to convert something in degrees to radian form and it can be done by multiplying pi/180

    say to convert 30 degrees to rad form ,

    30 x pi/180 = pi/6
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  5. #5
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    Cool thanks. I didn't realize 1/sin had to be done first before using the arc sin. Probably will have more probs tomorrow, thanks again!
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