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Let (-3, -4) be a point on the terminal ...

Let (-3, -4) be a point on the terminal side of `theta`. Find the sine, cosine and tangent of `theta`.

Text Solution

Verified by Experts

The correct Answer is:
`sintheta=-4/5,costheta=-3/5,tantheta=4/3`

Here `x=-3,y=-4`
Terminal angle `theta`lies in the third quadrant.
Now, `r=sqrt(x^2+y^2)=sqrt((-3)^2+(-4)^2)=sqrt25=5`
`:. sintheta =y/r=-4/5`
`costheta =x/r=-3/5`
`tantheta =y/x=4/3`
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Knowledge Check

  • If sin theta = 3//5, find the values of cosine theta and tangent theta.

    A
    `4/5 ; 3/4`
    B
    `4/5 ; 4/3`
    C
    `5/4 ; 3/4`
    D
    `4/5 ; 4/4`
  • Two tangents are drawn from the point (-2, – 1) to the parabola y^2 = 4x . If theta is the angle between these tangents then tan theta =

    A
    `1//2`
    B
    `1//3`
    C
    2
    D
    3
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