Home
Class 11
MATHS
Given both theta and phi are acute angle...

Given both `theta` and `phi` are acute angles and `sin theta = (1)/(2), cos phi = (1)/(3)`, then the value of `theta + phi` belongs to

A

`((pi)/(3),(pi)/(2)]`

B

`((pi)/(2),(2pi)/(3)]`

C

`((2pi)/(3),(5pi)/(6)]`

D

`((5pi)/(6),pi]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) LEVEL - I|38 Videos
  • COMPOUND ANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) LEVEL - II|4 Videos
  • COMPOUND ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|46 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos
  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

If tan theta = (1)/(2) and tan phi = (1)/(3) , then the value of theta + phi is

If 2sec2theta = tan phi + cot phi , then one of the values of theta + phi is:

IF tan^2 theta=2 tan^2 phi +1 then find the value of cos 2 theta+sin^2 phi .

If theta is acute and (1-a^(2)) sin theta =(1+ a^(2)) cos theta , then sin theta =

If sin theta = cos phi , then the possible values of (1)/(pi) (theta pm phi - (pi)/(2)) are

If tantheta = ntan phi then the maximum value of tan^(2)(theta - phi) is equal to

If tan theta = n tan phi then the maximum value of tan^(2)(theta-phi) is equal to

If sin 2 theta = cos 3 theta and theta is an acute angle, then sin theta equals

AAKASH SERIES-COMPOUND ANGLES-LECTURE SHEET (EXERCISE - I)
  1. If sqrt(2)cos A = cos B + cos^(3)B, and sqrt(2)sin A = sin B- sin^(3)B...

    Text Solution

    |

  2. If sin theta(1)sin theta(2)-cos theta(1)cos theta(2)+1=0, then the val...

    Text Solution

    |

  3. Given both theta and phi are acute angles and sin theta = (1)/(2), cos...

    Text Solution

    |

  4. If tan(alpha-beta)=(sin 2beta)/(3-cos2beta), then

    Text Solution

    |

  5. If tan alpha = (1)/(sqrt(x(x^(2)+x+1))), tan beta = (sqrt(x))/(sqrt(x^...

    Text Solution

    |

  6. If A gt 0, B gt 0 and A+B=(pi)/(3), then the maximum value of tan A ta...

    Text Solution

    |

  7. In a triangle PQR angle R=pi //2 if tan (p//2) and tan ( Q//2)...

    Text Solution

    |

  8. If tan alpha, tan beta are the roots of the equation x^(2)+px+q=0 the...

    Text Solution

    |

  9. If sec theta + tan theta=1, then root of the equation (a-2b+c)x^(2) + ...

    Text Solution

    |

  10. If tan alpha is equal to the integral solution of the inequality 4x^(2...

    Text Solution

    |

  11. If A+B+C=(pi)/2, " then " sum (cos (B+C))/(cos B cos C)=

    Text Solution

    |

  12. If "tan"^(2)(pi-4)/(4)+"tan"^(2)(pi-B)/(4)+"tan"^(2)(pi-C)/(4)=1, then...

    Text Solution

    |

  13. In a Delta ABC, if tan A : tan B : tan C = 3 : 4 : 5, then the value o...

    Text Solution

    |

  14. Let (sin(theta-alpha))/(sin(theta-beta))=(a)/(b) and (cos(theta-alpha)...

    Text Solution

    |

  15. If (tan(alpha + beta - gamma))/(tan(alpha - beta + gamma)) = (tan gamm...

    Text Solution

    |

  16. If A, B, C are the angles of a triangle such that "cot"(A)/(2)="3 tan"...

    Text Solution

    |

  17. If tan((pi)/(4)+(y)/(2))=tan^(3)((pi)/(4)+(x)/(2)) then (3+sin^(2)x)/(...

    Text Solution

    |

  18. Let 0lt x lt pi//4, then (sec2x-tan2x) equals

    Text Solution

    |

  19. Which of the following number(s) is/are rational ?

    Text Solution

    |

  20. If alpha+beta+gamma =2pi, then

    Text Solution

    |