Home
Class 12
MATHS
|{:(,1+sin^(2)theta,sin^(2)theta,sin^(2)...

`|{:(,1+sin^(2)theta,sin^(2)theta,sin^(2)theta),(,cos^(2)theta,1+cos^(2)theta,cos^(2)theta),(,4 sin 4theta,4 sin 4theta,1+4 sin 4 theta):}|=0" then sin "4theta" equal to :"`

A

`pi/24,(5pi)/(24)`

B

`(5pi)/24,(7pi)/24`

C

`(7pi)/24,(11pi)/(24)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4.1|8 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4.2|16 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4f|10 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|23 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos

Similar Questions

Explore conceptually related problems

If |(1+sin^2 theta,sin^2 theta,sin^2 theta),(cos^2 theta,1+cos^2 theta,cos^2 theta),(4sin 4 theta,4sin4theta,1+4sin4theta)|=0, then ... sin 4theta equal to ....

Prove that sin^(4)theta+2sin^(2)thetacos^(2)theta+cos^(4)theta=1

Prove that : sin^(2)theta+cos^(4)theta=cos^(2)theta+sin^(4)theta

Prove that sin^(4)theta-cos^(4)theta=sin^(2)theta-cos^(2)theta .

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

If |{:(1+cos^(2)theta,sin^(2)theta,4cos6theta),(cos^(2)theta,1+sin^(2)theta,4cos6theta),(cos^(2)theta,sin^(2)theta,1+4cos6theta):}|=0 , and theta in (0,(pi)/(3)) , then value of theta is

4(sin^(6)theta+cos^(6)theta)-6(sin^(4)theta+cos^(4)theta) is equal to

Prove that : (cos 4theta + cos 3theta + cos 2theta)/(sin 4theta + sin 3theta + sin 2theta) = cot 3theta

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

2(sin^(6) theta + cos^(6)theta) - 3(sin^(4)theta + cos^(4)theta)+ 1 = 0