Home
Class 12
MATHS
If 5 sin x cos y = 1, 4 tan x = tan y, t...

If 5 sin x cos y = 1, 4 tan x = tan y, then

A

`x=(m+2n)(pi)/(2)+(pi)/(4)+(-1)^(m)1/2sin^(-1)(-3/5),m, n in Z`

B

`y=(2n-m)(pi)/(2)+(pi)/(4)+(-1)^(m+1)(1)/(2)sin^(-1)(-3/5),m,n in Z`

C

`x = (m+n)'(pi)/(2)+(pi)/(4)+(-1)^(m)1/2sin^(-1)(-3/5),m,nin Z`

D

`y=(n-m)(pi)/(2)+(pi)/(4)+(-1)^(m+1)1/2sin^(-1)(-3/5),m,n in Z`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

If sin x + sin y = 1/2 and cos x + cos y = 1 then tan (x + y)

If tan(x+y)=33 , and x= tan^(-1)3 , then: y=

If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z

If x+y=pi//4 and tan x+tan y=1 , then (n in Z)

If the sum of all value of x satisfying the system of equations tan x + tan y+ tan x* tan y=5 sin (x +y)=4 cos x * cos y is (k pi )/2 , where x in (0, (pi)/(2)) then find the values of k .

'solve tan ( sin − 1 ( cos ( sin − 1 x ) ) ) tan ( cos − 1 ( sin ( cos − 1 x ) ) ) '

If y = ( tan x)/( 1+ tan^2 x), Prove that (dy)/(dx) = cos 2x.

Prove that (tan 3x.cos 4x + cos 3 x. tan 3 x + tan 3 x . cos 2 x )/(sin 4 x + sin 3 x + sin 2 x ) = 1

if (1- tan x)/(1+tan x) = tan y and x -y = pi/6, then x,y are respectively

If tan x, tan y, tan z are in G.P., show that cos 2y = (cos (x +z))/(cos (x-z)).

RESONANCE ENGLISH-DPP-QUESTION
  1. Consider an A.P. a(1), a(2), "……"a(n), "……." and the G.P. b(1),b(2)"…....

    Text Solution

    |

  2. If sum(r=1)^(n) r(r+1) = ((n+a)(n+b)(n+c))/(3), where a gt b gt c, the...

    Text Solution

    |

  3. If 5 sin x cos y = 1, 4 tan x = tan y, then

    Text Solution

    |

  4. Solve : (i) -2 le ||x^(2) +1| -3 | le 7 (ii) |x^(2) - 4x| le 5

    Text Solution

    |

  5. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

    Text Solution

    |

  6. Study carefully the graph of a certain function The graph corresp...

    Text Solution

    |

  7. If the r^(th) term of a series is 1 + x + x^2 + .......+ x^(r-1) , the...

    Text Solution

    |

  8. If sin((6)/(5)x)=0 and cos((x)/(5))=0, then (n in Z)

    Text Solution

    |

  9. If sn=(1-4/1)(1-4/9)(1-4/25)......(1-4/((2n-1)^2)), where n in N, th...

    Text Solution

    |

  10. If S(n) = 1 + 3 + 7 + 13 + 21 + "….." upto n terms, then

    Text Solution

    |

  11. If a,b,c,d,e are five positive numbers, then

    Text Solution

    |

  12. Solve : (i) |x^(2)-2x|le x , (ii) (x^(2)-9)(|x|-2)le0

    Text Solution

    |

  13. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

    Text Solution

    |

  14. It the first and (2n-1)^(th) terms of an A.P.,a G.P. and an H.P. of po...

    Text Solution

    |

  15. If p ,q ,r are positive and are in A.P., the roots of quadratic equati...

    Text Solution

    |

  16. In the given figure AB, BC, BD cannot be in

    Text Solution

    |

  17. If x epsilon R, the numbers 2^(1+x)+2^(1-x), (b)/(2), 36^(x)+36^(-x) ...

    Text Solution

    |

  18. Is 184 a term of the sequence 3,7,11, ... ?

    Text Solution

    |

  19. Suba Rao started work in 1995 at an annual salary of Rs 5000 and re...

    Text Solution

    |

  20. Solve : (|x-3|)/(x^(2)-5x+6) gt 2

    Text Solution

    |