Home
Class 12
MATHS
If sinA+sinB=sqrt3(cosB-cosA),then sin3A...

If `sinA+sinB=sqrt3(cosB-cosA),then sin3A+sin3B=`

A

0

B

2

C

1

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Exercise|190 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If sinA+cosB=a and sinB+cosA=b then sin(A+B)=

If sinA+sinB=a and cosA+cosB=b,then cos(A+B)

Knowledge Check

  • If sin A+sin B=sqrt3 (cos B- cosA), then sin 3A+sin 3B is equal to

    A
    0
    B
    2
    C
    1
    D
    -1

  • If sinA+sinB=C,&cosA+cosB=D , then sin(A+B)=?

    A
    CD
    B
    `(CD)/(C^(2)+D^(2))`
    C
    `(C^(2)+D^(2))/(2CD)`
    D
    `(2CD)/(C^(2)+D^(2))`

  • If sinA/sinB=sin(A-C)/sin(C-B) then

    A
    `b^2,c^2,a^2` are in A.P
    B
    `a^2,b^2,c^2` are in A.P
    C
    `c^2,b^2,a^2` are in A.P
    D
    none

    • Similar Questions

    Explore conceptually related problems

    A and B are positive acute angles satisfying the equations 3cos^(2)A+2cos^(2)B=4and (3sinA)/(sinB)=(2cosB)/(cosA),then A+2B is equal to

    A and B are positive acute angles satisfying the equations 3cos^(2)A+2cos^(2)B=4and (3sinA)/(sinB)=(2cosB)/(cosA), then A+2B is equal to

    (sinA+sinB)/(cosA-cosB)+(cosA+cosB)/(sinA-sinB)=?

    If sinA=sinB and cosA=cosB, A pi B , then

    If sinA+sinB=C,cosA+cosB=D , then the value of sin(A+B) =

    Home
    Profile