Home
Class 12
MATHS
3sin^(2)x-7sin x +2=0, x in [0,(pi)/(2)]...

` 3sin^(2)x-7sin x +2=0, x in [0,(pi)/(2)] and f_(n)(theta)=sin^(n) theta + cos^(n) theta ` .
On the basis of above information, the value of `f_(4)(x) ` is:

A

(a) `(97)/(81)`

B

(b) `(57)/(81)`

C

(c) `(65)/(81)`

D

(d) `(73)/(81)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise EXAMPLES ( Matching Type Questions )|1 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise EXAMPLES ( Subjective Type Examples )|2 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

3sin^(2)x-7sin x +2=0, x in [0,(pi)/(2)] and f_(n)(theta)=sin^(n) theta + cos^(n) theta . On the basis of above information, the value of ( sin 5 x + sin 4 x)/( 1+ 2 cos 3 x) is:

If number of solution and sum of solution of the equation 3sin^(2)x-7sinx +2=0, x in [0,2pi] are respectively N and S and f_(n)(theta)=sin^(n)theta +cos^(n) theta . On the basis of above information , answer the following questions. Value of N is

If number of solution and sum of solution of the equation 3sin^(2)x-7sinx +2=0, x in [0,2pi] are respectively N and S and f_(n)(theta)=sin^(n)theta +cos^(n) theta . On the basis of above information , answer the following questions. Value of S is

If number of solution and sum of solution of the equation 3sin^(2)x-7sinx +2=0, x in [0,2pi] are respectively N and S and f_(n)(theta)=sin^(n)theta +cos^(n) theta . On the basis of above information , answer the following questions. If alpha is solution of equation 3sin^(2)x-7sinx+2=0, x in [0,2pi] , then the value of f_(4)(alpha) is

Solve sin^(2) theta-cos theta=1/4, 0 le theta le 2pi .

If f(theta)=(1-sin2 theta +cos theta theta)/(2 cos 2 theta) , then value of f(11^(@))*f(34^(@)) is __________

If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ) , then sin theta + cos theta is equal to

Solve 7 cos^(2) theta+3 sin^(2) theta=4 .

The value of f(k)=int_(0)^(pi//2) log (sin ^(2) theta +k^(2) cos^(2) theta) d theta is equal to

If S_n=cos^n theta+sin^n theta then find the value of 3S_4-2S_6