Home
Class 12
MATHS
If (cos theta)/(a)=(sin theta)/(b), then...

If `(cos theta)/(a)=(sin theta)/(b)`, then `(a)/(sec2theta)+(b)/(cosec2theta)` is equal to

A

a

B

b

C

`a/b`

D

`a+b`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|189 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2 theta) is equal to

Prove : (cos theta)/(1+sin theta) + (cos theta)/(1-sin theta)= 2 sec theta

If A= tan27theta - tantheta and B= (sintheta)/(cos 3theta) +(sin 3theta)/(cos 9theta) + (sin 9theta)/(cos 27theta) , then the value of (A+B)/(A-B) +(A-B)/(A+B) -10/3 is

For theta in (0,pi/2) , let L=(sin theta)^(sin theta)+(cosec theta)^(cosec theta) and M=(sin)^(cosec theta)+(cosec theta)^(sin theta) , then -

If sintheta+cosec theta=2 , then sin^(2)theta+cosec ^(2)theta is equal to

If cos2theta=0 , then |(0,costheta,sin theta),(cos theta, sin theta, 0),(sin theta, 0, cos theta)|^(2) is equal to…………

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

Prove that (costheta)/(1-sin theta)+(1-sin theta)/(cos theta)=2sec theta .

(sin5theta+sin2theta-sin theta)/(cos5theta+2cos3theta+2cos^(2)theta+costheta) is equal to

If sintheta+cosectheta=2 , then "sin"^(2)theta+"cosec"^(2)theta is equal to

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. Prove that ((cos A+cos B)/(sinA-sinB))^(n)+((sinA+sinB)/(cos A-cosB))^...

    Text Solution

    |

  2. If 3tan(theta-15^0)=tan(theta+15^0), then theta is equal to n in Z) ...

    Text Solution

    |

  3. If (cos theta)/(a)=(sin theta)/(b), then (a)/(sec2theta)+(b)/(cosec2th...

    Text Solution

    |

  4. If k(1)=tan 27 theta-tan theta and k(2)=(sin theta)/(cos 3 theta)+(sin...

    Text Solution

    |

  5. Find the number of integral values of k for which the equation 7 cos x...

    Text Solution

    |

  6. If A=sin^(2)theta+cos^(4)theta, then find all real values of theta.

    Text Solution

    |

  7. The minimum value of f(x)-sin^(4)x+cos^(4)x,0lexle(pi)/(2) is

    Text Solution

    |

  8. The value of sin\ pi/16 sin\ (3pi)/16 sin\ (5pi)/16 sin\ (7pi)/16 is

    Text Solution

    |

  9. If A+B+C=pi then sin2A+sin2B+sin2C=

    Text Solution

    |

  10. The expression tan^2alpha+cot^2alpha is

    Text Solution

    |

  11. Given alpha+beta+gamma=pi, prove that sin^2alpha+sin^2beta-sin^2gamma=...

    Text Solution

    |

  12. If tan((alphapi)/(4))=cot((betapi)/(4)), then

    Text Solution

    |

  13. The roots of the equation 4x^(2)-2sqrt(5)x+1=0 are

    Text Solution

    |

  14. The radius of the circle whose are of length 15\ pi cm makes an angle ...

    Text Solution

    |

  15. If (cosA)/(cosB)=n and (sinA)/(sinB)=m,then (m^(2)-n^(2))sin^(2)B=

    Text Solution

    |

  16. If tantheta + tan(theta + pi/3) + tan(theta-pi/3)= Ktan3theta, then K ...

    Text Solution

    |

  17. If cos(theta + phi) = m cos (theta - phi), then tan theta is equal to ...

    Text Solution

    |

  18. alpha & beta are solutions of a cos theta+b sin theta=c(cosalpha != ...

    Text Solution

    |

  19. Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/...

    Text Solution

    |

  20. cos^(4)theta-sin^(4)theta is equal to

    Text Solution

    |