Home
Class 11
MATHS
In a Delta PQR , if 3 sin P + 4 cos Q = ...

In a `Delta PQR` , if `3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1`, then the angle R is equal to :

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    ALLEN|Exercise All Questions|114 Videos

Similar Questions

Explore conceptually related problems

If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , " then" angleR is equal to

In Delta PQR , If angle R gt angle Q, then

If sin A + cos A = p and sec A + cosec A = q , then prove that : q(p^(2) - 1) = 2 p

In DeltaP Q R , right angled at Q, P R+Q R=25cm and P Q=5c m . Determine the values of sin P, cos P and tan P .

In DeltaP Q R , right angled at Q, P R+Q R=25cm and P Q=5c m . Determine the values of sin P, cos P and tan P .

In DeltaO P Q , right-angled at P, O P\ =\ 7\ c m and O Q\ -\ P Q\ =\ 1\ c m Determine the values of sin\ Q\ a n d\ cos\ Qdot

If tan theta = p/q then (p sin theta - q cos theta)/(p sin theta + q cos theta)=

If in a triangle PQR; sin P, sin Q, sin R are in A.P; then (A)the altitudes are in AP (B)the altitudes are in HP (C)the altitudes are in GP (D)the medians are in AP

If P+Q=R and |P|=|Q|= sqrt(3) and |R| ==3 , then the angle between P and Q is

Construct a triangle P Q R with side Q R=7c m , P Q=6c m and /_P Q R=60o . Then construct another triangle whose sides are 3//5 of the corresponding sides of P Q R .

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If s e c^2theta=(4x y)/((x+y)^2) is true if and only if (a)x+y!=0 (b)...

    Text Solution

    |

  2. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

    Text Solution

    |

  3. Let alpha and beta be such that pi<alpha-beta<3pi, If sinalpha+sinbeta...

    Text Solution

    |

  4. If 0ltxltpi and cosx +sinx = 1/2 then tan x is (A) (-(4+sqrt(7))/3) (B...

    Text Solution

    |

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

    Text Solution

    |

  6. If A""=""s in^2x""+""cos^4x , then for all real x : (1) 3/4lt=Alt=1...

    Text Solution

    |

  7. In a Delta PQR , if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1, th...

    Text Solution

    |

  8. The expression (tan A)/(1-cotA)+(cot A)/(1-tan A) can be written as

    Text Solution

    |

  9. ABCD is a trapezium such that A B||C Da n dC B is perpendicular to the...

    Text Solution

    |

  10. Let fk(x)=1/k(sin^kx+cos^kx)" where "x in R and kge1. " Then "f4(x) -f...

    Text Solution

    |

  11. If m and M are the minimum and the maximum values of 4+1/2 sin^2 2x-2c...

    Text Solution

    |

  12. If A >0,\ B >0\ a n d\ A+B=\ pi/6 , then the minimum value of t a n A+...

    Text Solution

    |

  13. If alpha+beta=pi/2\ a n d\ beta+gamma=alpha, then t a nalpha, equals- ...

    Text Solution

    |

  14. Given both thetaa n dvarphi are acute angles and sinalphabetagamma=1/2...

    Text Solution

    |

  15. In an equilateral triangle, three coins of radii 1 unit each are kept ...

    Text Solution

    |

  16. t1 = (sintheta)^costheta ,t2 = (sintheta)^sintheta , t3 = (costheta)^c...

    Text Solution

    |

  17. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

    Text Solution

    |

  18. For 0ltthetalt pi/2 the solutions(s) of sum(m=1)^6 cosec (theta+ ((m-1...

    Text Solution

    |

  19. Two parallel chords of a circle of radius 2 are at a distance. sqrt(3+...

    Text Solution

    |

  20. Let P={theta:sintheta-costheta=sqrt2costheta}and Q={theta: sintheta+co...

    Text Solution

    |