Home
Class 12
MATHS
Minimum value of the expression cos^2the...

Minimum value of the expression `cos^2theta-(6 sintheta cos theta) + 3 sin^2theta + 2`, is

A

`4+sqrt(10)`

B

`4-sqrt(10)`

C

`0`

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    ALLEN |Exercise EX-02|8 Videos

  • COMPOUND ANGLES

    ALLEN |Exercise EX-S1|9 Videos

  • COMPOUND ANGLES

    ALLEN |Exercise Yourself|2 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    ALLEN |Exercise All Questions|1 Videos

  • DETERMINANTS

    ALLEN |Exercise All Questions|100 Videos

Similar Questions

Explore conceptually related problems

The maximum value of the expression 1/(sin^2 theta + 3 sin theta cos theta + 5cos^2 theta) is

Maximum and minimum value of 2sin^2theta-3sintheta+2 is

The value of 3(cos theta-sin theta)^(4)+6(sin theta+cos theta)^(2)+4 sin^(6) theta is where theta in ((pi)/(4),(pi)/(2))

Find the value of 6(sin^6theta+cos^6theta)-9(sin^4theta+cos^4theta)+4

If theta is eliminated from the equations costheta-sintheta=b and cos3theta+sin3theta=a , find the eliminate.

For which value of an acute angle theta ,(i) ( cos theta )/( 1-sin theta ) +(cos theta )/( 1+sin theta ) =4 is true ? For which value of 0^(@) le theta le 90 ^(@) , above equation is not defined?

Consider DeltaACB , right angled at C, in which AB = 29 units, BC = 21 units and angleABC = theta (see the given figure). Determine the values of: ( 1 ) cos^(2)theta + sin^(2)theta, ( 2) cos^(2)theta - sin^(2)theta .

2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to

The number of solutions of the pair of equations 2sin^2theta-cos2theta=0 2cos^2theta-3sintheta=0 in the interval [0,2pi] is 0 (b) 1 (c) 2 (d) 4

Find the minimum value of sec^2 theta + cos^2 theta + 2