Home
Class 12
MATHS
If tan(picos theta) = cot(pisin theta), ...

If `tan(picos theta) = cot(pisin theta)`, then `cos(theta - pi/4)` is :

A

0

B

`1/(2sqrt(2))`

C

`1/sqrt(2)`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUSTIONS FROM AIEEE/JEE EXAMINATIONS|8 Videos
  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos
  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos
  • UNIT TEST PAPER NO - 4

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|25 Videos

Similar Questions

Explore conceptually related problems

If tan(pi cos theta )= cot (pi sin theta ) ,then cos^(2)(theta -pi//4) is equal to

If tan (pi cos theta)=cot (pi sin theta), 0ltthetalt(3 pi)/(4) then, sin (theta+(pi)/(4)) equals

If : cot theta + cot((pi)/4 + theta) = 2 , then : theta =

(1+cos 2 theta)/(sin 2 theta)=cot theta

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

cos theta . Cosec theta = cot theta

cot theta=sin 2 theta,(theta ne n pi), if theta

If sin theta + cos theta = sqrt(3), tan theta + cot theta = ?

The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ), AA theta in (0,2pi) is

(sin theta+cos theta)(tan theta+cot theta)=

MODERN PUBLICATION-TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS-MULTIPLE CHOICE QUESTION(LEVEL-II)
  1. If f(x)=sin^(2)x+sin^(2)(x+pi//3)+cosxcos(x+pi//3) and g(5//4)=1 then ...

    Text Solution

    |

  2. if A, B, C are acute positive angles, then : ((sinA + sinB)(sinA + sin...

    Text Solution

    |

  3. If tan(picos theta) = cot(pisin theta), then cos(theta - pi/4) is :

    Text Solution

    |

  4. If (sec^4theta)/a+(tan^4theta)/b=1/(a+b), then prove that |b|lt=|a| .

    Text Solution

    |

  5. The value of the determinant : |(sin^(2)13^(@)""sin^(2)77^(@)""tan135^...

    Text Solution

    |

  6. If t a nalpha,t a nbeta,t a ngamma are the roots of the equation x^3-p...

    Text Solution

    |

  7. if O is the point inside the triangle ABC such that /OBC = A/2, /OCA =...

    Text Solution

    |

  8. If B - 45^(@) in DeltaABC, then :

    Text Solution

    |

  9. In a triangle,tanA + tanB + tanC = 6 and tanA tanB = 2, then the value...

    Text Solution

    |

  10. If n is an odd positive interger, then ((cosA+cosB)/(sinA-sinB))^(n)...

    Text Solution

    |

  11. If tan x= (2b)/(a-c), a!=c, y = a cos^2 x +2b sin x*cos x + c sin^2x, ...

    Text Solution

    |

  12. If (sec A + tan A) (sec B + tan B) (sec C + tan C) = (sec A-tan A) (se...

    Text Solution

    |

  13. If a=1/(5cosx+12sinx) then for all real x.

    Text Solution

    |

  14. If A + B =pi/3 and cosA + cosB = 1, then :

    Text Solution

    |

  15. If Agt=0,B=0,A + B = pi/3 and y = tanA.tanB, then :

    Text Solution

    |

  16. 3^(sin2x + 2cos^(2)x) + 3^(1 - sin2x + 2sin^(2)x) = 28 is satisfied by...

    Text Solution

    |

  17. Let f(x) = e^(cos^(-1)sin(x + pi//3)), Then :

    Text Solution

    |

  18. If asin^(2)x + bcos^(2)x = cbsin^(2)y + acos^(2)y = d and atanx = btan...

    Text Solution

    |

  19. If 33theta = pi, then cos theta cos2theta cos4theta cos8theta cos16the...

    Text Solution

    |

  20. The minimum value of the expression sin theta(1) + sin theta(2) + sin ...

    Text Solution

    |