Home
Class 12
MATHS
If cos2theta=0, then |(0,costheta,sin th...

If `cos2theta=0`, then `|(0,costheta,sin theta),(cos theta, sin theta, 0),(sin theta, 0, cos theta)|^(2)` is equal to…………

Text Solution

Verified by Experts

The correct Answer is:
N/a
Sicne `cos2 theta=0`
`implies cos 2theta= "cos" (pi)/2implies2 theta=(pi)/2`
`implies theta=(pi)/4`
`:. "sin" (pi)/4=1/(sqrt(2))` and `"cos"(pi)/4=1/(sqrt(2))`
`:. |(0,1/(sqrt(2)),1/(sqrt(2))),(1/(sqrt(2)),1/(sqrt(2)),0),(1/(sqrt(2)),0,1/(sqrt(2)))|`
Expanding along `R_(1)`
`=[-1/(sqrt(2))(1/2)+1/(sqrt(2))(-1/2)]^(2)=[(-2)/(2sqrt(2))]^(2)=((-1)/(sqrt(2)))^(2)=1/2`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    NCERT EXEMPLAR ENGLISH|Exercise TRUE/FALSE|11 Videos

  • DETERMINANTS

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPE QUESTIONS|14 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT EXEMPLAR ENGLISH|Exercise True/False|10 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT EXEMPLAR ENGLISH|Exercise Objective|1 Videos

Similar Questions

Explore conceptually related problems

sin theta -cos theta=0

int (d theta)/((sin theta - 2 cos theta)(2 sin theta + cos theta))

Prove that (cos^3 theta-sin^3 theta)/(cos theta-sin theta) = 1+cos theta sin theta

sin^(3)theta + sin theta - sin theta cos^(2)theta =

If f(theta)=|(cos^(2)theta ,cos theta sin theta, -sin theta),(cos theta sin theta, sin^(2)theta,cos theta),(sin theta,-cos theta,0)| then, f((pi)/(6))+f((pi)/(3))+f((pi)/(2))+f((2pi)/(3))+f((5pi)/(6))+f(pi)+……+f((53pi)/(6)) is equal to

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] ,then f ( pi / 7) is

1 + (cos 2 theta + cos 6 theta)/(cos 4 theta) = (sin 3 theta)/(sin theta).

Evaluate the following: |costheta, -sin theta],[sin theta, cos theta]|

If 2 cos theta + sin theta =1 then 7 cos theta + 6 sin theta is equal to

if sintheta-costheta=0, then the value of (sin^4theta+cos^4theta)