Maths-
General
Easy

Question

The sum of all the solution of cotθ= sin 2θ(θ ≠ nstraight pi, n integer), 0 ,less or equal than theta less or equal than pi is

  1. 3straight pi/2    
  2. straight pi
  3. infinite    
  4. 2straight pi
       

The correct answer is: 3straight pi/2


    For the given relation cos q = (2 sin q cos q) sin q, sin q¹ 0
    table row cell text end text text o end text text r end text text end text s i n invisible function application theta equals plus-or-minus fraction numerator 1 over denominator square root of 2 end fraction text end text text o end text text r end text text end text c o s invisible function application theta equals 0 end cell row cell text end text text o end text text r end text text end text theta equals fraction numerator pi over denominator 4 end fraction comma fraction numerator 3 pi over denominator 4 end fraction comma fraction numerator pi over denominator 2 end fraction end cell end table
    Then the sum of roots is 3p/2

    Related Questions to study

    General
    Maths-

    L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator left parenthesis 1 plus x right parenthesis to the power of 1 fifth end exponent minus left parenthesis 1 minus x right parenthesis to the power of 1 half end exponent over denominator x end fraction

    L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator left parenthesis 1 plus x right parenthesis to the power of 1 fifth end exponent minus left parenthesis 1 minus x right parenthesis to the power of 1 half end exponent over denominator x end fraction

    Maths-General
    General
    Maths-

    L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator sin space open parentheses pi cos squared space x close parentheses over denominator x squared end fraction

    L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator sin space open parentheses pi cos squared space x close parentheses over denominator x squared end fraction

    Maths-General
    General
    maths-

    L subscript x not stretchy rightwards arrow 0 end subscript fraction numerator e to the power of x minus e cubed over denominator x not stretchy rightwards arrow 0 end fraction

    L subscript x not stretchy rightwards arrow 0 end subscript fraction numerator e to the power of x minus e cubed over denominator x not stretchy rightwards arrow 0 end fraction

    maths-General
    parallel
    General
    maths-

    L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator e to the power of 3 x end exponent minus e cubed over denominator x end fraction

    L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator e to the power of 3 x end exponent minus e cubed over denominator x end fraction

    maths-General
    General
    Maths-

    Lt subscript x not stretchy rightwards arrow 0 end subscript invisible function application fraction numerator e to the power of 7 x end exponent minus 1 over denominator 7 x end fraction

    Lt subscript x not stretchy rightwards arrow 0 end subscript invisible function application fraction numerator e to the power of 7 x end exponent minus 1 over denominator 7 x end fraction

    Maths-General
    General
    chemistry-

    Which is not a property of hydrophilic sols?

    Which is not a property of hydrophilic sols?

    chemistry-General
    parallel
    General
    physics-

    The path of a projectile in the absence of air drag is shown in the figure by dotted line. If the air resistance is not ignored then which one of the path is shown in the figure is appropriate for the projectile

    The path of a projectile in the absence of air drag is shown in the figure by dotted line. If the air resistance is not ignored then which one of the path is shown in the figure is appropriate for the projectile

    physics-General
    General
    biology

    Match Column - I with Column - II and select the correct option from the codes given below.

    Match Column - I with Column - II and select the correct option from the codes given below.

    biologyGeneral
    General
    chemistry-

    Which graph represents auto catalysis?

    Which graph represents auto catalysis?

    chemistry-General
    parallel
    General
    physics-

    A) The frequency band of VHF is greater than UHF of TV transmission
    B) Optical fiber transmission has frequency band of 1 THz to 1000 THz

    A) The frequency band of VHF is greater than UHF of TV transmission
    B) Optical fiber transmission has frequency band of 1 THz to 1000 THz

    physics-General
    General
    physics-

    A) Satellite communication uses different frequency bands for uplink and downlink
    B) Bandwidth of video signals is 4.2 MHz

    A) Satellite communication uses different frequency bands for uplink and downlink
    B) Bandwidth of video signals is 4.2 MHz

    physics-General
    General
    physics-

    The TV broad casting bands are

    The TV broad casting bands are

    physics-General
    parallel
    General
    physics-

    The FM Radio broad casting band is

    The FM Radio broad casting band is

    physics-General
    General
    physics-

    The short wave Radio broadcasting band is

    The short wave Radio broadcasting band is

    physics-General
    General
    physics-

    Band width of an optical fiber is

    Band width of an optical fiber is

    physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.