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The value of theta lying between 0 and p...

The value of theta lying between 0 and `pi/2` and satisfying the equation `|(1+cos^2theta, sin^2theta, 4sin4theta),(cos^2theta, 1+sin^2theta, 4sin4theta)(cos^2theta, sin^2theta, 1+4sin4theta)|=0` is (are)

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
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  12. If alpha is a root of 25"cos"^(2) theta+ 5"cos" theta-12 = 0, (pi)/(2)...

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  13. If "cos 3x + "sin" (2x - (7pi)/(6)) =-2, then x =

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  14. The number of solutions of 2"cos"^(2)((x)/(2))"sin"^(2) x =x^(2) + (1)...

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  15. If A and B are acute positive angles satisfying the equations 3 sin^(2...

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  16. The equation "sin" theta = x +(p)/(x) for real values of x is possible...

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  17. If sin A = sin B and cos A= cos B, then find the value of a in terms o...

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  18. Solve 5 cos 2 theta+2 "cos"^(2) theta/2 +1=0, -pi lt theta lt pi.

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  19. If (1+tantheta)(1+tanphi)=2, then theta + phi=

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  20. The general solution of "tan" 3x =1, is

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