Home
Class 12
MATHS
5sinx−12cosx=−13sin3x , if ϕ=sin ^(...

`5sinx−12cosx=−13sin3x` , if `ϕ=sin ^(−1)( 12/13 )` , then

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Given 13 sin A = 12 , find : (1)/(cos^2A) - tan^2A

intdx/sqrt (13+5cosx-12sinx)

If int (3sinx+2cosx)/ (3cosx+2sinx) dx=a x+b ln|2sinx+3cosx|+C , then (a) a=-(12)/(13),b=(15)/(39) (b) a=-7/(13),b=6/(13) (c) a=(12)/(13),b=(15)/(39) (d) a=-7/(13),b=-6/(13)

If 13 sin A = 12 Find sec A - tan A.

If in a triangle ABC sin A = 4/5 and sin B = 12/13 , then sin C =

Given 13 sin A = 12 , find : sec A - tan A

If 5cosx+12cosy=13 , then the maximum value of 5sinx+12siny is (A) 12 (B) sqrt(120) (C) sqrt(20) (D) 13

If f(x)=cos^(-1)(1/sqrt(13))(2cosx-3sinx) +sin^(-1)(1/sqrt(13))(2cosx+3sinx)wdotrdottsqrt(1+x^2), then find (df(x))/(dx) at x=3/4dot

If (sinx-cosx)= 0 then find (sin^3 x- cos^3x)

Find the equation of the straight line which cuts off an intercept- 5 from the y -axis and makes an angle of sin^-1 (12/13) with the x-axis.

ALLEN-TEST PAPER-Chemistry
  1. If 4sinθ+3cosθ=5 then tanθ=

    Text Solution

    |

  2. The value of 5tan^ 2θ−5sec ^2 θ is :

    Text Solution

    |

  3. 5sinx−12cosx=−13sin3x , if ϕ=sin ^(−1)( 12/13 ) , then

    Text Solution

    |

  4. Show that (√5+i √2)/(√5-i√2) + (√5-i√2)/(√5+i√2) is real.

    Text Solution

    |

  5. If cos(α−β)=1 and cos(α+β)= 1/e , where α, β∈[−π,π]. Then num...

    Text Solution

    |

  6. Prove that;- sin^6θ+cos ^6θ=1−3sin^2θcos ^2θ

    Text Solution

    |

  7. lf α and β are two different solutions lying between −π/2 and π/...

    Text Solution

    |

  8. The solution set of sin(x+π/4)=sin2x equals to

    Text Solution

    |

  9. Prove by the principle of mathematical induction that 2^ n >n fo...

    Text Solution

    |

  10. The equation x(x+2)(x ^2 −x)=−1 , has all roots imaginary ...

    Text Solution

    |

  11. The value of sin50^∘−sin70^∘ +sin10^∘ is

    Text Solution

    |

  12. What is the value of sin ^2 25^0+sin^2 65^0?

    Text Solution

    |

  13. Find dy/dx :6x−9+8y=0

    Text Solution

    |

  14. The roots of the equation cos ^7x+sin^4x=1 in the interval (−π,π...

    Text Solution

    |

  15. If (i ^413)(i ^x )=1 , then determine the one possible value of x.

    Text Solution

    |

  16. Express the given complex number 3(7+i7)+i(7+i7) in the form a...

    Text Solution

    |

  17. 1/(i-1) + 1/(i+1) is a. purely imaginary b. purely rational number....

    Text Solution

    |

  18. |{:(,"List-I(Atom/Ions)",,"List-II(Electron Affinity in eV/atom and co...

    Text Solution

    |

  19. |{:(,"List-I(Orbitals)",,"List-II"),(,"(Approach axis is z-axis)",,"(T...

    Text Solution

    |

  20. Let alpha and beta be the roots of the equation x^2+(2-costheta)x-(1+c...

    Text Solution

    |