Home
Class 12
MATHS
Prove that, cos^(2) (pi/4) + sin^(2) (3p...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise EXERCISE - LONG ANSWER TYPE QUESTIONS (5 marks)|11 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - MULTIPLE CORRECT ANSWERS TYPE|5 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise EXERCISE - VERY SHORT ANSWER TYPE QUESTIONS (2 marks)|14 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise sample questions for competive examination|20 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

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).

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

Solve: (x+1) cot^2 (pi/6) = 2cos^2 (pi/3)+ 3/4 sec^2 (pi/4)+ 4 sin^2 (pi/6) .

Find the value of sin^2(pi/16)+ sin^2 ((3pi)/16)+sin^2 ((5pi)/16)+sin^2((7pi)/16) .

Prove that sin (pi/14)sin((3pi)/14)sin((5pi)/14)=1/8

Prove that: sin^2(pi/(18))+sin^2(pi/9)+sin^2((7pi)/(18))+sin^2((4pi)/9)=2

Prove that cos^2( pi/8)+cos^2((3pi)/8)+cos^2 ((5pi)/8)+cos^2 ((7pi)/8)=2.

Prove that, 3[sin^(4)((3pi)/2 - alpha) + sin^(4)(3pi + alpha)] - 2[sin^(6)((pi)/2 + alpha) + sin^(6) (5pi - alpha)] = 1

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES-EXERCISE - SHORT ANSWER TYPE QUESTIONS (4 marks)
  1. If tan theta = 15/8 and cos theta is negative, find the value of (sin ...

    Text Solution

    |

  2. If theta lies in the fourth quadrant and "sec" theta = 5/3 then find t...

    Text Solution

    |

  3. Find the sum of n terms: sin theta + sin(pi + theta) + sin (2pi + th...

    Text Solution

    |

  4. If n is an integer, prove that, (i) cos(n pi + theta) = (-1)^(n) cos...

    Text Solution

    |

  5. If n is an integer, prove that, (ii) tan{(n pi)/2 + (-1)^(n) pi/4} =...

    Text Solution

    |

  6. If n is an integer, prove that, (iii) sin{n pi + (-1)^(n) cdot (pi)/...

    Text Solution

    |

  7. If n is an integer, prove that, (iv) tan (n pi + alpha) = tan alpha

    Text Solution

    |

  8. If A,B,C are the angles of a triangle, show that, (i) sin B cos(C +A...

    Text Solution

    |

  9. If A,B,C are the angles of a triangle, show that, (ii) tan ((A - B)/...

    Text Solution

    |

  10. If A,B,C are the angles of a triangle, show that, (iii) (cos A cos C...

    Text Solution

    |

  11. If A,B,C are the angles of a triangle, show that, (iv) (tan(B + C) +...

    Text Solution

    |

  12. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

    Text Solution

    |

  13. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

    Text Solution

    |

  14. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

    Text Solution

    |

  15. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

    Text Solution

    |

  16. Prove that, tan 1^(@) tan 2^(@) tan 3^(@).....tan 87^(@) tan 88^(@) ta...

    Text Solution

    |

  17. Prove that, tan^(2) (pi/6) cdot tan^(2)(2pi/16) cdot tan^(2) (3pi/16) ...

    Text Solution

    |

  18. Show that, tan 181^(@) tan182^(@) tan 183^(@).....tan 267^(@) tan 268^...

    Text Solution

    |

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

    Text Solution

    |

  20. Find the minimum value of 2^(sin^2 theta) + 2^(cos^2 theta).

    Text Solution

    |