Home
Class 12
MATHS
If A lies in second quadrant and 3tanA+...

If A lies in second quadrant and `3tanA+4=0,` then the value of `2cotA-5cosA+sinA` is equal to

A

`23/10ifpi/2ltAltpi`

B

`23/10if(3pi)/2ltAlt2pi`

C

`(-53)/10ifpi/2ltAltpi`

D

`-53/10if(3pi)/2ltAlt2pi`

Text Solution

Verified by Experts

The correct Answer is:
A, D
We have `tanA=-3/4`
If A lies in `2^(nd)` quadrant, then
`sinA=4/5,cosA=(-3)/5,and cotA=(-3)/4`
If lies `2^(nd)` quadrant, then
`sinA=(-4)/5,cosA=(3)/5,and cotA=(-3)/4`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Comprehension)|11 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Matrix)|3 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Single)|57 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

The value of [1-tanA/1-cotA]^2 is

(-2,3) lies in the II quadrant.

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

A line of fixed length 2 units moves so that its ends are on the positive x-axis and that part of the line x+y=0 which lies in the second quadrant. Then the locus of the midpoint of the line has equation. a. x^2+5y^2+4x y-1=0 b. x^2+5y^2+4x y+1=0 c. x^2+5y^2-4x y-1=0 d. 4x^2+5y^2+4x y+1=0

If 3cotA=2 , then find the value of (4sinA-3cosA)/(2sinA+3cosA)

In a A B C , if tanA:tanB :tanC=3:4:5, then the value of sinA sinB sinC is equal to (a) 2/(sqrt(5)) (b) (2sqrt(5))/7 (2sqrt(5))/9 (d) 2/(3sqrt(5))

If 3 cot A = 2, then find the value of (4sinA-3cosA)/(2sinA+3cosA)

If cosA=3/5 , then find the value of (sinA-cosA)/(2tanA)

if cos x=-4/5 , where x in [ 0,pi] then the value of cos (x/2) is equal to