Home
Class 12
MATHS
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`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.5|16 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.6|9 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.3|4 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos
  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

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

Suppose the point with coordinates (-12,5) is on the terminal side of angle theta. Find the values of the six trigonometric functions of theta .

Find the angle theta whose cosine is equal to its tangent.

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .

If 3cos theta-4sin theta=2cos theta+sin theta, find tan theta.

Let f(theta)=sin theta(sin theta+sin3 theta)* then

If 3cos theta-4sin theta=2cos theta+sin theta then find tan theta

If 3 sin theta - 4 cos theta = 0 , then find the values of tan theta , sec theta and cosec theta .