Results 1 to 2 of 2

Math Help - sin question

  1. #1
    Senior Member euclid2's Avatar
    Joined
    May 2008
    From
    Ottawa, Canada
    Posts
    400
    Awards
    1

    sin question

    if sino=7/25 what are the other primary trig ratios.
    solve this triangle.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2008
    Posts
    792
    \sin{\theta} = \frac{y}{r} = \frac{7}{25}

    y = 7, r = 25. Now we need x to find the other trig ratios. We use Pythagora's theorem:
    x^2 + y^2 = r^2

    x = \pm\sqrt{r^2 - y^2}

    Which quadrant is this? Take the sign that corresponds for the quadrant. Assume it's Quadrant I, thus

    x = +\sqrt{625 - 49} = +\sqrt{576} = + 24

    Now, now you solved the triangle. Simply substitute the values of x, y, and r in other ratios. I recommend that you find sine, cosine, and tangent, then take their reciprocals to get cosecant, secant, and cotangent. Remember:

    \sin{\theta} = \frac{y}{r}

    \cos{\theta} = \frac{x}{r}

    \tan{\theta} = \frac{y}{x}
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum