Home
Class 11
MATHS
2 sin ^(2) "" (3pi)/(4) + 2 cos ^(2) "" ...

`2 sin ^(2) "" (3pi)/(4) + 2 cos ^(2) "" (pi)/( 4) + 2 sec ^(2) "" (pi)/(3) =10`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NCERT BANGLISH|Exercise EXERCISE 3.4|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXAMPLES|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT BANGLISH|Exercise EXERCISE 3.2|10 Videos

  • STRAIGHT LINES

    NCERT BANGLISH|Exercise Miscellaneous Exercise on Chapter 10|24 Videos

Similar Questions

Explore conceptually related problems

2 sin ^(2) "" (pi)/(6) + cosec ^(2) "" (7pi)/(6) cos ^(2) "" (pi)/(3) = 3/2

The value of (cos ^(2) ""(pi)/(12)+ cos^(2) ""(pi)/(4)+ cos ^(2) ""(5pi)/(12)) is-

cos ((3pi)/( 4) + x) - cos((3pi)/( 4) -x) =- sqrt2 sin x

Prove that, cos^(2) (pi/4) + sin^(2) (3pi/4) + sin^(2) (5pi/4) + sin^(2)(7pi/4) = 2 .

sin ^(2)(pi/6) + cos ^(2)(pi/3) - tan ^(2)(pi/4) =- 1/2

Evalute : "sin"^(2)(pi)/(4) + "cos"^(2) (3pi)/(4)+"cos"^(2)(5pi)/(4)+"sin"^(2)(7pi)/(4).

"tan"^(2)(pi)/(4) "sin"(pi)/(3) "tan"(pi)/(6) "tan"^(2)(pi)/(3) =

Prove that cos ^(2) x + cos ^(2) (x + (pi)/(3)) + cos ^(2) (x - (pi)/(3)) = 3/2.

Prove that : "sin"(pi)/(3) "tan"(pi)/(6) +"sin"(pi)/(2) "cos"(pi)/(3) =2 "sin"^(2)(pi)/(4) .

cos ((3pi )/( 2 ) + x) cos (2pi + x) [cot ((3pi)/( 2)- x ) + cot (2pi +x) ]=1

NCERT BANGLISH-TRIGONOMETRIC FUNCTIONS -EXERCISE 3.3
  1. 2 sin ^(2) "" (pi)/(6) + cosec ^(2) "" (7pi)/(6) cos ^(2) "" (pi)/(3) ...

    Text Solution

    |

  2. cot ^(2) "" (pi)/(6) + cosec ""(5pi)/(6) + 3 tan ^(2) ""(pi)/(6) =6

    Text Solution

    |

  3. 2 sin ^(2) "" (3pi)/(4) + 2 cos ^(2) "" (pi)/( 4) + 2 sec ^(2) "" (pi)...

    Text Solution

    |

  4. Find the value of: (i) sin 75^(@) (ii) tan 15 ^(@)

    Text Solution

    |

  5. cos ((pi)/(4) - x) cos ((pi)/(4) -y) - sin ((pi)/(4) -x) sin ((pi)/(4)...

    Text Solution

    |

  6. (tan ((pi)/(4) +x))/( tan ((pi)/(4) -x ))= ((1 + tan x )/( 1- tan x ))...

    Text Solution

    |

  7. (cos (pi +x) cos (-x))/( sin (pi -x) cos ((pi )/(2) + x))= cot ^(2) x

    Text Solution

    |

  8. cos ((3pi )/( 2 ) + x) cos (2pi + x) [cot ((3pi)/( 2)- x ) + cot (2pi ...

    Text Solution

    |

  9. sin (n +1) x sin (n +2) x + cos (n +1) x cos (n +2) x = cos x

    Text Solution

    |

  10. cos ((3pi)/( 4) + x) - cos((3pi)/( 4) -x) =- sqrt2 sin x

    Text Solution

    |

  11. sin ^(2) 6x - sin ^(2) 4x = sin 2x sin 10x

    Text Solution

    |

  12. cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

    Text Solution

    |

  13. sin 2 x + 2 sin 4x + sin 6x = 4 cos ^(2) x sin 4x

    Text Solution

    |

  14. cot 4x (sin 5x + sin 3x) = cot x (sin 5x - sin 3x)

    Text Solution

    |

  15. (cos 9x - cos 5x )/( sin 17 x- sin 3x )=- (sin 2x)/( cos 10x )

    Text Solution

    |

  16. (sin 5x + sin 3x )/( cos 5x + cos 3x ) = tan 4x

    Text Solution

    |

  17. (sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)

    Text Solution

    |

  18. (sin x + sin 3x )/( cos x + cos 3x )= tan 2x

    Text Solution

    |

  19. (sin x - sin 3x)/( sin ^(2) x - cos ^(2) x) = 2 sin x

    Text Solution

    |

  20. (cos 4x +cos 3x + cos 2x )/( sin 4x + sin 3x + sin 2x)= cot 3x

    Text Solution

    |