Home
Class 11
MATHS
sin^(4) theta + cos ^(4) theta + 2sin^(2...

`sin^(4) theta + cos ^(4) theta + 2sin^(2) theta cos ^(2) theta` has value 1.

Text Solution

Verified by Experts

The correct Answer is:
True Statement
Promotional Banner

Topper's Solved these Questions

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Principle of Mathematical Induction (Fill in the blanks)|20 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Complex numbers and Quadratic Equations (Fill in the Blanks)|40 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Trigonometric Functions (Fill in the blanks)|62 Videos

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (Knowledge Test:)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos

Similar Questions

Explore conceptually related problems

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

If f(x)=|{:( sin^2 theta , cos^(2) theta , x),(cos^(2) theta , x , sin^(2) theta ),( x , sin^(2) theta , cos^2 theta ):}|, theta in (0,pi//2), then roots of f(x)=0 are

If sin^(100) theta - cos^(100) theta =1 , then theta is

The value of theta , lying between theta =0 and theta=(pi)/(2) and satisfying the equation . |{:(1+ cos^(2 ) theta , sin^(2) theta , 4 sin 4 theta ),(cos^(2) theta , 1+sin^2 theta , 4 sin 4 theta ),(cos^(2) theta , sin^(2) theta , 1+ 4 sin 4 theta ):}|=0 , is

Consider a triangle PQR ,right at R ,in which PQ = 29 units ,QR =21 units and angle PQR =theta , then find the values of (i) cos ^(2) theta + sin ^(2) theta and (ii) cos ^(2) theta -sin ^(2) theta

If x sin^(3)theta + y cos^(3)theta = sintheta costheta and x sin theta = y cos theta , prove that x^(2) + y^(2) = 1.

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 .

Let theta in (pi//4,pi//2), then Statement I (cos theta)^(sin theta ) lt ( cos theta )^(cos theta ) lt ( sin theta )^(cos theta ) Statement II The equation e^(sin theta )-e^(-sin theta )=4 ha a unique solution.

Prove that cos theta cos 2theta cos2^2 theta … cos 2^(n-1) theta = (sin2^n theta)/(2^n.sin theta) , for all n in N

KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Trigonometric Functions (True /False Statement)
  1. Value of the rotation of point P on unit circle increase in multiple o...

    Text Solution

    |

  2. If tan theta = 3 and theta is in third quadrant then sin theta = 3/sq...

    Text Solution

    |

  3. sin^(4) theta + cos ^(4) theta + 2sin^(2) theta cos ^(2) theta has val...

    Text Solution

    |

  4. Point of intersection of the graph of sine function with X - axis has ...

    Text Solution

    |

  5. If f(x)=cos^(2)x+sec^(2)x, then

    Text Solution

    |

  6. "cosec" theta =1/2

    Text Solution

    |

  7. tan(20^@) gt tan(120^(@))

    Text Solution

    |

  8. If 0 lt theta lt (pi)/2 and 5 tan theta = 4 then (5 sin theta - 3 cos ...

    Text Solution

    |

  9. If "cosec" theta + cot theta = (13)/5 then cot^(2) theta - "cosec"^(2)...

    Text Solution

    |

  10. cos(2pi -x) cos (-x) - sin(2pi +x) sin (-x) = 0

    Text Solution

    |

  11. 3sin(pi/9) - 4sin^(3)(pi/9) = .......

    Text Solution

    |

  12. sintheta = (3)/5 , (pi)/2 lt theta lt pi sin2theta = (-12)/25

    Text Solution

    |

  13. If tan theta = sqrt2-1 then tan (2theta)=1 .

    Text Solution

    |

  14. If in two circles, arcs of the same length subtend angles 60^(@)and75^...

    Text Solution

    |

  15. If x + y = (2pi)/3 then equation cosx +cosy = 3/2 has empty solution s...

    Text Solution

    |

  16. If tantheta - tan^(2) theta = 1 , then tan^(4) theta-2tan^3theta-tan^2...

    Text Solution

    |

  17. The number of solutions of equation tanx+secx=2cosx lying in the inter...

    Text Solution

    |

  18. If tantheta=(1)/(2)andtanphi=(1)/(3), then the value of theta+phi is

    Text Solution

    |

  19. f(x) = 3 cos x + 4 sin x + 8 has minimum value 19.

    Text Solution

    |

  20. If in DeltaABC a = 9 , b = 7 and sinA = 3/4 then DeltaABC is right an...

    Text Solution

    |