Home
Class 12
MATHS
If 5tantheta=4, then (5sintheta-3costhet...

If `5tantheta=4,` then `(5sintheta-3costheta)/(5sintheta+2costheta)` is equal to `0` (b) 1 (c) `1/6` (d) 6

A

0

B

1

C

`1/6`

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
`5tantheta=4ortantheta=4/5`
Now, `(5sintheta-3costheta)/(5sintheta+2costheta)=(5(sintheta)/costheta-3)/(5sintheta/tantheta+2)`
`=(5tantheta-3)/(5tantheta+2)`
`=(5xx4/5-3)/(5xx4/5+2)=1/6`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Multiple)|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Comprehension)|11 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.6|9 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

(sintheta+sin2theta)/(1+costheta+cos2theta)

(costheta + isintheta)^4/(sintheta + icostheta)^5 is equal to.

Knowledge Check

  • If tantheta=(3)/(4)," find "(2sintheta+3costheta)/(3sintheta+2costheta) is:

    A
    `(17)/(12)`
    B
    `(12)/(17)`
    C
    `(18)/(17)`
    D
    `(17)/(18)`

    • Similar Questions

    Explore conceptually related problems

    costheta -sintheta -cottheta +1=0

    3(sintheta-costheta)^4+6(sintheta +costheta)^2+4(sin^6theta+cos^6theta) is equal to 11 (b) 12 (c) 13 (d) 14

    Prove that: (1+sintheta-costheta)/(1+sintheta+costheta)=tantheta/2

    If tantheta=12/5 , then find 5 sin theta-12costheta =?

    If sintheta_1+sintheta_2+sintheta_3=3, then costheta_1+costheta_2+costheta_3 is equal to 3 (b) 2 (c) 1 (d) 0

    If 3cottheta=1 , then find the value of (3costheta-4sintheta)/(5sintheta+4costheta) .

    Prove that (1+sintheta)/costheta+costheta/(1+sintheta)=2sectheta

    Home
    Profile