Home
Class 14
MATHS
If 3(cot^2 phi-cos^2 phi)=cos^2 phi, 0^@...

If `3(cot^2 phi-cos^2 phi)=cos^2 phi, 0^@ < phi < 90^@`, then the value of `(tan^2 phi +cosec^2 phi + sin^2 phi)` is:

A

`13/3`

B

`15/4`

C

`61/12`

D

`25/12`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If 1-3(cot^(2)phi-cos^(2)phi)=sin^(2)phi,0^(@)ltthetalt90^(@) , then what is the value of (2sinphi+cosphi) ?

The value of tan^2 phi+ cot^2 phi- sec^2 phi cosec^2 phi is equal to:

tan phi cos ec phi=sec phi

If (sin^2 phi+3sin phi+2)/(cos^2 phi)=1 , where -90^@< phi <90^@ , then what is the value of (cos 2 phi+sin3 phi+cosec2 phi) ?

If 3(cos 2phi-cos2theta)=1-cos2phi cos2theta , then tan theta= k tan phi , where theta, phiin (0,(pi)/(2)) , where k =

From the relation 3(cos2 phi-2 theta)=1-cos2 phi cos2 theta we get tan theta=k tan phi Find the value of k^(4)

From the relation 3(cos2 phi-2 theta)=1-cos2 phi cos2 theta we get tan theta=k tan phi Find the value of k^(4)

The value of sqrt((cosec phi-cot phi)/(cosec phi +cot phi)) div (sin phi)/(1+cos phi) is equal to:

If a^(2)+b^(2)+c^(2)=1, then prove that a^(2)+(b^(2)+c^(2))cos phi,ab(1-cos phi),ac(1-cos phi)ba(1-cos phi),b^(2)+(c^(2)+a^(2))cos phi,bc(1-cos phi)ca(1-cos phi),cb(1-cos phi),c^(2)+(a^(2)+b^(2))cos phi is independent of a,b,c.

If A=[(cos^2theta,costheta sintheta),(cos theta sintheta, sin^2theta)] and B=[(cos^2 phi, cos phi sin phi),(cos phisinphi,sin^2phi)], show that AB is zero matrix if theta and phi differ by an odd multiple of pi/2.

PINNACLE-2018 Main Exam 2nd Shift-EXERCISE
  1. If the 11-digit number 5678x43267y is divisible by 72, then the value ...

    Text Solution

    |

  2. If sqrt(10-2 sqrt 21)+ sqrt(8+2 sqrt 15)=sqrt a+ sqrt b, where a and b...

    Text Solution

    |

  3. If 3(cot^2 phi-cos^2 phi)=cos^2 phi, 0^@ < phi < 90^@, then the value ...

    Text Solution

    |

  4. The value of sqrt((cosec phi-cot phi)/(cosec phi +cot phi)) div (sin p...

    Text Solution

    |

  5. The value of tan^2 phi+ cot^2 phi- sec^2 phi cosec^2 phi is equal to:

    Text Solution

    |

  6. The value of 9xx6 div 24 +8 div 2 of 5-30 div 4 of 4 + 27 xx5 div 9 is...

    Text Solution

    |

  7. 4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 ...

    Text Solution

    |

  8. In a circle, AB and DC are two chords. When AB and DC are produced, th...

    Text Solution

    |

  9. The average weight of a certain number of students in a group is 72 kg...

    Text Solution

    |

  10. The point of intersection of the graphs of the equations 3x - 5y = 19 ...

    Text Solution

    |

  11. A sum of Rs. x is divided among A, B and C such that the ratio of the ...

    Text Solution

    |

  12. The base of a right prism is a triangle with sides 20 cm, 21 cm and 29...

    Text Solution

    |

  13. A sum lent out at simple interest amounts to Rs. 6076 in 1 year and Rs...

    Text Solution

    |

  14. To do a certain work, the ratio of efficiency of A to that of B is 3:7...

    Text Solution

    |

  15. A and B started their journeys from X to Y and Y to X, respectively. A...

    Text Solution

    |

  16. Study the graph and answer the question that follows. What is the ra...

    Text Solution

    |

  17. The value of ((253)^3+(247)^3)/(25.3xx25.3- 624.91+24.7xx24.7) is 50xx...

    Text Solution

    |

  18. Three solid metallic spheres whose radii are 1cm, x cm and 8 cm, are m...

    Text Solution

    |

  19. A sum of Rs 8400 amounts to Rs 11,046 at 8.75% p.a. simple interest in...

    Text Solution

    |

  20. In triangle ABC, AB=7 cm, BC = 10 cm, and AC = 8 cm. If AD is the ang...

    Text Solution

    |