Home
Class 12
MATHS
If cosalpha, cosbeta and cosgamma are th...

If `cosalpha, cosbeta and cosgamma` are the direction cosine of a line, then find the value of `cos^2alpha+(cosbeta+singamma)(cosbeta-sin^2gamma)`.

Text Solution

Verified by Experts

The correct Answer is:
`0`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 3|15 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|5 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

If cos alpha , cos beta, cos gamma are the direction-cosines of a line, then the value of sin^2alpha + sin^2 beta + sin^2gamma =

If cos α , cos β , cos γ are the direction-cosines of a line, then the value of cos^(2) alpha +cos^(2) beta +cos^(2) gamma is _____ .

If alpha,beta,gamma are direction - angles of a line prove that cos2 alpha+cos2beta+cos2gamma=-1

If a line makes angles alpha,beta,gamma respectively with positive directions of the coordinate axes, then the value of cos^(2)alpha+cos^(2)beta+cos^(2)gamma=1 .

If alpha+beta=pi/2 , then the maximum value of cosalpha cos beta is: