Home
Class 12
MATHS
If tan theta(1), tan theta(2), tan theta...

If `tan theta_(1), tan theta_(2), tan theta_(3), tan theta_(4)` are the roots of the equation
`x^(4)-(sin 2 beta)^(3)+(cos 2 beta) x^(2)-(cos beta)x- sin beta=0`
Then, `tan (theta_(1)+theta_(2)+theta_(3)+theta_(4))`, is equal to

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|20 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise LEVEL -2|49 Videos
  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos

Similar Questions

Explore conceptually related problems

If tan theta_1,tantheta_2,tan theta_3,tan theta_4 are the roots of the equation x^4-x^3sin2beta+x^2cos2beta-xcosbeta-sinbeta=0 then prove that tan(theta_1+theta_2+theta_3+theta_4)=cot beta

If tan theta_1,tantheta_2,tan theta_3,tan theta_4 are the roots of the equation x^4-x^3sin2beta+x^2cos2beta-xcosbeta-sinbeta=0 then prove that tan(theta_1+theta_2+theta_3+theta_4)=cot beta

If tan 3 theta + tan theta =2 tan 2 theta , then theta is equal to (n in Z)

Solve tan theta + tan 2 theta + tan theta * tan 2 theta * tan 3 theta=1

Solve tan theta+tan 2 theta+sqrt(3) tan theta tan 2 theta = sqrt(3) .

tan theta + 2 tan 2 theta + 4 tan 4 theta + 8 cot 8 theta = cot theta.

theta = tan^(-1) (2 tan^(2) theta) - tan^(-1) ((1)/(3) tan theta) " then " tan theta=

Prove that (1 - cos 2 theta)/( sin 2 theta) = tan theta.

For theta_(1), theta_(2), ...., theta_(n) in (0, pi/2) , if In (sec theta_(1)-tan theta_(1))+ "In" (sec theta_(2)-tan theta_(2))+...+"In" (sec theta_(n)-tan theta_(n))+ "ln" pi=0 , then the value of cos((sec theta_(1)+ tan theta_(1))(sec theta_(2)+tan theta_(2))....(sec theta_(n)+tan theta_(n))) is equal to

Prove that (tan^2 (2theta)-tan^2 theta)/(1-tan^2 (2theta) tan^2 theta)=tan (3theta)tan theta