Home
Class 12
MATHS
If (sinx)/a=(cosx)/b=(tanx)/c=k , then b...

If `(sinx)/a=(cosx)/b=(tanx)/c=k ,` then `b c+1/(c k)+(a k)/(1+b k)` is equal to

A

`k(a+1/a)`

B

`1/k(a+1/a)`

C

`1/k^2`

D

`a/k`

Text Solution

Verified by Experts

The correct Answer is:
B
`bc+1/(ck)+(ak)/(1+bk)=(cosxtanx)/k^2+1/tanx+sinx/(1+cosx)`
`=sinx/k^2+(cosx(1+cosx)+sin^2x)/(sinx(1+cosx))`
`a/k+(cosx(1+cosx)+(1-cos^2x))/(sinx(1+cosx))`
`=a/k+1/sinx`
`a/k+1/(ak)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Linked Comprehension Type|11 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Concept Application Exercises 2.14|1 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|2 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation a x^2+b x+c=0 are of the form (k+1)/k and (k+2)/(k+1) ,then (a+b+c)^2 is equal to 2b^2-a c b. a 62 c. b^2-4a c d. b^2-2a c

If the integral int(5tanx)/(tanx-2)dx=x+a" ln"|sinx-2cosx|+k , then a is equal to-

If the integral int(5tanx)/(tanx-2)dx=x+aInabs(sinx-2cosx)+k , then a is equal to

If int(dx)/(cos^(3)xsqrt(2sin2x))=(tanx)^(A)+C(tanx)^(B)+K where K is a constant of integration, then A+B+C is equal to

If P(A cap B)=(1)/(2) and P(A^(c ) cap B^(c ))=(1)/(3), P(A)=p and P(B)=2p , then the value of p is ( K)/(18) . Find the value of K.

If cosx+sinx=sqrt2cosx and cosx-sinx=k.sinx, then k^2=?

If y=(sinx)^(tanx),t h e n(dy)/(dx)= (a) (sinx)^(tanx)(1+sec^2xlogsinx) (b) tanx(sinx)^(tanx-1)cosx (c) (sinx)^(tanx) (d) sec^2xlogsinx tanx(sinx)^(tanx-1)

if int dx/(4 + 5sin^(2)x)=1/k tan^(-1)(3/2tanx)+c, then the value of k is -

If in a triangle A B C ,(1+cosA)/a+(1+cosB)/b+(1+cosC)/c =(k^2(1+cosA)(1+cosB)(1+cosC)/(a b c) , then k is equal to (a) 1/(2sqrt(2)R) (b) 2R (c) 1/R (d) none of these

If A and B are two events and P(A)=(3)/(8), P(B)=(1)/(2), P(A cap B)=(1)/(4) then the value of P(A^(c ) cap B^(c ))=(K)/(8) , find the value of K.

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS -Exercises
  1. If tantheta+sintheta=mandtantheta-sintheta=n,then

    Text Solution

    |

  2. If cosectheta+cottheta=m, then the value of cosectheta is

    Text Solution

    |

  3. If (sinx)/a=(cosx)/b=(tanx)/c=k , then b c+1/(c k)+(a k)/(1+b k) is eq...

    Text Solution

    |

  4. If sec^4theta+sec^2theta=10+tan^4theta+tan^2theta", then "sin^2theta=

    Text Solution

    |

  5. If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1...

    Text Solution

    |

  6. If secalpha and cosecalpha are the roots of the equation x^2-px+q=0, t...

    Text Solution

    |

  7. Which of the following is not the quadratic equation whose roots are c...

    Text Solution

    |

  8. If sinx+sin^2x=1n then the value of cos^12x+3cos^10x+3cos^8x+cos^6x-1 ...

    Text Solution

    |

  9. 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta+cos^6theta)...

    Text Solution

    |

  10. If secx+sec^2x=1 then the value of tan^8x-tan^4x-2tan^2x+1 will be equ...

    Text Solution

    |

  11. (1-tanalphatanbeta)^2+(tanalpha+tanbeta)^2=

    Text Solution

    |

  12. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  13. A circle is drawn in a sector of a larger circle of radius r , as show...

    Text Solution

    |

  14. A right triangle has perimeter of length 7 and hypotenuse of length 3....

    Text Solution

    |

  15. Given that the side length of a rhombus is the geometric mean of the ...

    Text Solution

    |

  16. Which of the following is correct?

    Text Solution

    |

  17. The equation sin^2theta=(x^2+y^2)/(2x y),x , y!=0 is possible if

    Text Solution

    |

  18. If sin^2theta=(x^2+y^2=1)/(2x) , then x must be -3 (b) -2 (c) 1 (d)...

    Text Solution

    |

  19. sec^2theta=4xy/(x+y)^2 is true if and only if

    Text Solution

    |

  20. If sinx+siny+sinz=3," then "cosx+cosy+cosz is equal to

    Text Solution

    |