Home
Class 12
MATHS
(sin^(3)x)/(1 + cosx) + (cos^(3)x)/(1 - ...

`(sin^(3)x)/(1 + cosx) + (cos^(3)x)/(1 - sinx) =`

A

`sqrt(2) cos [ pi/4-x]`

B

`sqrt(2) cos [ pi/4 + x]`

C

`sqrt(2) sin [ pi/4 - x]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Solved Examples : Single Option Correct Type Questions|2 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

Prove that (cos^3x - sin^3x)/(cosx - sinx) = (2 + sin2x)/2

A function f(x) satisfies f(x)=sinx+int_(0)^(x)f'(t)(2sint-sin^(2)t)dt Then f(x) = (a) (x)/(1- sin x) " " (b) (sinx)/(1-sinx) (c) (1-cos x)/(cos x) " " (d) (tanx)/(1- sin x)

Prove that (sin3x + sinx)sinx + (cos3x - cosx)cosx = 0

Evaluate int(sin^(3)xdx)/((cos^(4)x+3cos^(2)x+1)tan^(-1)(secx+cosx)) .

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

If y = (log_(cosx) sin x)(log_(sinx) cosx)^-1 + sin^-1((2x)/(1+x^2)) , find dy/dx at x = pi/4

Prove that: (sin 3x + sin x) sin x + (cos 3x -cos x) cos x = 0

Evaluate : lim_(x rarr 0)(1-cosx cos2x cos3x)/(sin^2 2x) .

Find d/(dx) (sin (cosx) + cos (sinx))

Show that: (sin11x sinx+sin7x sin3x)/(cos11x sinx + cos7x sin3x)=tan8x

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. (sin^(3)x)/(1 + cosx) + (cos^(3)x)/(1 - sinx) =

    Text Solution

    |

  2. Let alpha and beta be non-zero real numbers such that 2 ( cos beta -...

    Text Solution

    |

  3. Let -pi/6 < theta < -pi/12. Suppose alpha1 and beta1, are the roots of...

    Text Solution

    |

  4. The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)p...

    Text Solution

    |

  5. Let f:(-1,1)vecR be such that f(cos4theta)=2/(2-sec^2theta) for theta ...

    Text Solution

    |

  6. The number of all possible values of theta, where 0 lt theta lt pi, fo...

    Text Solution

    |

  7. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

    Text Solution

    |

  8. If sin^ 4 x/2+cos^4 x/3 =1/5 then

    Text Solution

    |

  9. Let theta in (0, pi/4) and t(1)=tan theta)^(tan theta), t(2)=(tan thet...

    Text Solution

    |

  10. if cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [...

    Text Solution

    |

  11. If 5 (tan ^(2) x - cos ^(2) x ) = 2 cos 2x +9, then the value of cos 4...

    Text Solution

    |

  12. Let F(k)(x)=1/k (sin^(k)x+cos^(k)x), where x in R and k ge 1, then fin...

    Text Solution

    |

  13. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as (1) s...

    Text Solution

    |

  14. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

    Text Solution

    |

  15. If A = sin^2x + cos^4 x, then for all real x :

    Text Solution

    |

  16. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  17. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  18. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  19. In Delta PQR , /R=pi/4, tan(P/3), tan(Q/3) are the roots of the equati...

    Text Solution

    |