Home
Class 11
MATHS
If cotA=5/12 and A lies in 3rd quadrant,...

If `cotA=5/12` and A lies in 3rd quadrant, then find the values of five other trignometric ratios.

Text Solution

Verified by Experts

`cotA = 5/12`
`rArr tanA=1/(cotA) = 12/15`.
Now, `"cosec^(2)A=1+cot^(2)A`
`=1+(5/12)^(2)=169/144`
`rArr "cosec"A = -13/12`
`therefore` cosecA is negative in 3rd quadrant
sinA`=1/("cosec"A)=-12/13`
`cosA=(cosA)/(sinA).sinA`
`=cotA. sinA`
`=5/12(-12/13)=-5/13`
`secA=1/(cosA)=-13/5`
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3A|11 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3B|22 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

If sinA=-4/5 and A lies in 3rd quadrant, find the values of sin2A

If sin theta=(3)/(5), find the values of other trigonometric ratios.

If sec theta=13/12 , find the values of other trigonometric ratios.

If cot x=-(5)/(12) lies in second quadrant,find the values of other five trigonometric functions.

If cosx=-3/5 , x lies m the third quadrant, find the values of other five trigonometric functions.

If sec theta=-13/12 and theta lies in the second quadrant then find the values of all the other five trigonometric functions

If sin theta=-12/13 and theta lies in the IV quadrant, then find all other trignometric ratios.

If sinA=-3/5 and A lies in third quadrant, find the remaining trignometric ratios.

sinx=1/4 , x in quadrant II. Find the values of other five trignometric functions