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If costheta=1/2\ a n d\ pi<theta<(3pi)/2...

If `costheta=1/2\ a n d\ pi

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If costheta=-1/2 and pi

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Knowledge Check

  • If cot theta+costheta=m and cot theta-costheta=n , then find the value of m^(2)-n^(2) .

    A
    a) `sqrt(mn)`
    B
    b) `2sqrt(mn)`
    C
    c) `3sqrt(mn)`
    D
    d) `4sqrt(mn)`

  • If 4costheta+5sintheta=1 and alpha satisfy equation and alphain(-pi/2,pi/2) then, value of alpha is

    A
    `(sqrt10+10)/12`
    B
    `(sqrt10-10)/12`
    C
    `(10-sqrt10)/12`
    D
    `(sqrt10+10)/6`

  • For -pi/2 lt theta lt pi/2, (sintheta + sin 2theta)/(1+costheta + cos2theta) lies in the interval

    A
    `(-infty, infty)`
    B
    `(-2,-2)`
    C
    `(0,infty)`
    D
    `(-1,1)`

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    A general solution of tan^(2)theta+cos2 theta=1 is (n in Z)n pi=(pi)/(4) (b) 2n pi+(pi)/(4)n pi+(pi)/(4) (d) n pi

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    Let P={theta: s intheta-costheta=sqrt(2)costheta}a n d\ Q={theta: s intheta+costheta=sqrt(2)s intheta} be two sets. Then PsubQ\ a n d Q-P!=O/ b. Q P c. P Q d. P=Q

    If tan(pi.costheta)=cot(pi.sintheta), then: cos((pi)/(4)-theta)=..... (a) 1/2 (b) 1/sqrt2 (c) 1/(2sqrt2) (d) sqrt2/2

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