Home
Class 11
MATHS
Prove that (cos(pi +theta)cos (-theta))/...

Prove that `(cos(pi +theta)cos (-theta))/(cos(pi-theta) cos (pi/2+theta))=-cot theta`

Text Solution

Verified by Experts

LHS
`(cos(pi+theta)cos(-theta))/(cos(pi-theta)*cos(pi/2+theta))`
`(costheta*costheta)/(costheta*(-sintheta)`
`-costheta/sintheta=-cottheta=RHS`
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Prove that : (cos(pi+theta)cos(-theta))/(sin (pi-theta) cos (pi/2+ theta))= cot^2 theta.

Prove that: 2cos theta cos((pi)/(3)+theta)cos((pi)/(3)-theta)=cos3 theta

Knowledge Check

  • The value of (cos (pi+theta)cos(-theta))/(cos(pi-theta)cos((pi)/2+theta)) is

    A
    `tan theta`
    B
    `-tan theta`
    C
    `cot theta`
    D
    `-cot theta`

  • Prove that: (cos(2 pi+theta)csc(2 pi+theta)tan(pi/2+theta))/(sec(pi/2+theta)cos theta cot(pi+theta))=1

    A
    0
    B
    1
    C
    -1
    D
    2

    • Similar Questions

    Explore conceptually related problems

    Prove that: 4\ costhetacos\ (pi/3+theta)cos(pi/3-theta)=cos3theta

    Prove that cos theta + cos ((2pi)/(3)- theta)+ cos ((2pi)/(3)+ theta)=0

    tan (pi cos theta) = cot (pi sin theta)

    Prove that : cos^2 theta+ cos^2 ((2pi)/3 -theta) + cos^2 ((2pi)/3 +theta) = 3/2

    Prove that cos theta +cos ((2pi)/(3)-theta)+cos ((2pi)/(3)+theta)=0

    cos((3 pi)/(2)+theta)*cos(2 pi+theta)=

    Home
    Profile