Home
Class 11
MATHS
(a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftan...

`(a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftan alpha` is

A

`3//4`

B

`4//3`

C

`2a//(a^(2)+1)`

D

`2a//(a^(2)-1)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise PRATICE SHEET (EXERCISE) (LEVEL-I(MAIN) (SINGLE ANSWER TYPE QUESTIONS)|47 Videos
  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise PRATICE SHEET (EXERCISE) (LEVEL-II(ADVANCED) (SINGLE ANSWER TYPE QUESTIONS)|10 Videos
  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) (LEVEL - II (ADVANCED) (SINGLE ANSWER TYPE QUESTIONS)|8 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos
  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Practice Exercise|34 Videos

Similar Questions

Explore conceptually related problems

The ratio between (1+cos alpha)/(sin^(2) alpha) and a+((1+cos alpha)/(sin alpha))^(2) in that order is

Show that cos ^(4) alpha + 2 cos ^(2) alpha (1-(1)/(sec ^(2) alpha ))=(1- sin ^(4) alpha )

Knowledge Check

  • The distance the points (sinalpha, cosalpha,0), (cosalpha, - sin alpha,0) is

    A
    1
    B
    `sqrt(2)`
    C
    2
    D
    `tanalpha`
  • If alpha in (-(3pi)/2, -pi) , then the value of tan^(-1)(cotalpha)-cot^(-1)(tanalpha)+sin^(-1)(sinalpha)+cos^(-1)(cosalpha) is equal to

    A
    `2pi+alpha`
    B
    `pi+alpha`
    C
    0
    D
    `pi-alpha`
  • If (tanalpha-i[sin(alpha//2)+cos(alpha//2)])/(1+2isin(alpha//2)) is purely imaginary , is

    A
    `npi+pi/4`
    B
    `npipmpi/2`
    C
    `2npipmpi/4`
    D
    `2npi+pi/2`
  • Similar Questions

    Explore conceptually related problems

    If the latus rectum of the ellipse x^(2)tan^(2)alpha+y^(2)sec^(2)alpha=1 is 1/2 then alpha=

    IF (cosalpha)/a=(sinalpha)/b then a cos 2alpha+bsin 2 alpha =……….

    If piltalphalt(3pi)/(2) then sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha)) is equal to

    The set of real values of alpha for which the system of linear equations x+ (sinalpha)y+(cosalpha)z=0 x+ (cos alpha)y + (sin alpha)z =0 -x+ (sinalpha)y-(cosalpha)z=0 has a non-trivial solution is

    If Tantheta=(Cosalpha-Sinalpha)/(Cosalpha+Sinalpha)andtheta is acute then theta + alpha =