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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

  • Let f(theta)=sin theta(sin theta+ sin 30) then f(theta)

    A
    `ge0` only when `theta ge0`
    B
    `le0` for all real `theta `
    C
    `ge0` for all real `theta `
    D
    `le0` only when `theta le 0`

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