Home
Class 11
MATHS
If s e ctheta+t a ntheta=k ,\ costheta= ...

If `s e ctheta+t a ntheta=k ,\ costheta=` a.`(k^2+1)/(2k)` b. `(2k)/(k^2+1)` c. `k/(k^2+1)` d. `k/(k^2-1)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

If t a ntheta_1t a ntheta_2=k , then ("cos"(theta_1-theta_2))/("cos"(theta_1+theta_2))= a. (1+k)/(1-k) b. (1-k)/(1+k) c. (k+1)/(k-1) d. (k-1)/(k+1)

If A+B+C=pi\ &sin(A+C/2)=ksinC/2, t h e ntanA/2tanB/2= a. (k-1)/(k+1) b. (k+1)/(k-1) c. k/(k+1) d. (k+1)/k

If (k+(1)/(k))^(2)=16 , then k^(2)+(1)/(k^(2))=

sum_(k=0)^(5)(-1)^(k)2k

If x_k = (sectheta)^(1/2^k)+ (tan theta)^(1/(2^k) and y_k = (sectheta)^(1/(2^k))-(tan theta)^(1/2^k) , then value of 3y_n prod_(k=0)^n (x_k) is equal to

If the value of K, is the points (k, 2-2k), (1-k, 2k) and (-4-k, 6-2 k) are collinear.

A rod of fixed length k slides along the coordinates axes, If it meets the axes at A(a ,0)a n dB(0,b) , then the minimum value of (a+1/a)^2+(b+1/b)^2 (a) 0 (b) 8 (c) k^2+4+4/(k^2) (d) k^2+4+4/(k^2)

If n and k are positive integers, show that 2^k( .^n C_0)(.^n C_k)-2^(k-1)(.^n C_1)(.^(n-1) C_k-1)+2^(k-2)(.^n C_2)((n-2k-2))_dot-...+ (-1)^k(^n C_k)+(.^(n-k) C_0)=(.^n C_k)w h e r e(.^n C_k) stands for .^n C_k.

The value of the determinant |(k a, k^2+a^2, 1),(k b, k^2+b^2, 1),(k c, k^2+c^2, 1)| is (A) k(a+b)(b+c)(c+a) (B) k a b c(a^2+b^(2)+c^2) (C) k(a-b)(b-c)(c-a) (D) k(a+b-c)(b+c-a)(c+a-b)

For and elementary reaction 2A underset(k_(2))overset(k_(1))hArr B , the rate of disappearance of A iss equal to (a) (2k_(1))/(k_(2))[A]^(2) (b) -2k_(1)[A]^(2) + 2k_(2)[B] ( c) 2k_(1)[A]^(2) - 2k_(2)[B] (d) (2k_(1) - k_(2))[A]

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If 3sintheta+5costheta=5, then write the value of 5sin theta-3costheta...

    Text Solution

    |

  2. If t a ntheta=x-1/(4x) , then s e ctheta-t a ntheta is equal to (a) -2...

    Text Solution

    |

  3. If pi/2 < theta < (3pi)/2 then sqrt ((1-sin theta)/(1+sin theta))= a. ...

    Text Solution

    |

  4. If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. co...

    Text Solution

    |

  5. If sec theta= x+1/(4x) then sec theta+ tan theta= (a) x, 1/(x), (b) 2x...

    Text Solution

    |

  6. If pi/2ltthetaltpi, then sqrt((1-sintheta)/(1+sintheta))+sqrt((1+sinth...

    Text Solution

    |

  7. If tanθ+secθ=√3,0 <θ<π, then θ is equal to a. (5pi)/6 b. (2pi)/3 c. pi...

    Text Solution

    |

  8. If t a ntheta=-1/(sqrt(5)) and theta lies in the IV quadrant, then the...

    Text Solution

    |

  9. sin^6A+cos^6A+3sin^2A cos^2A=\ a. 0 b. 1 c. 2 d. 3

    Text Solution

    |

  10. If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3,...

    Text Solution

    |

  11. If theta is an acute angle and t a ntheta=1/(sqrt(7)) , then the value...

    Text Solution

    |

  12. sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)85^@ + sin^(2)90^@=

    Text Solution

    |

  13. If t a n A+cot A=4, then tan^4A+cot^4A is equal to 110 b. 191 c. 80 d....

    Text Solution

    |

  14. If xsin45^0cos^2 60^0=(tan^2 60^0cos e c\ 30^0)/(s e c 45^0cot^2 30^0)...

    Text Solution

    |

  15. If cos e ctheta+cottheta=(11)/2 , then t a ntheta= (21)/(22) (b) (15...

    Text Solution

    |

  16. If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3,...

    Text Solution

    |

  17. If s e ctheta+t a ntheta=k ,\ costheta= a.(k^2+1)/(2k) b. (2k)/(k^2+1...

    Text Solution

    |

  18. Which of the following is incorrect? a. sintheta=-1//5 b. costheta=1 c...

    Text Solution

    |

  19. The value of cos1^@. cos2^@. cos 3^@....cos 179^@= a. 1/sqrt2, b.0, c....

    Text Solution

    |

  20. The value of "tan"1^0tan2^0t a n3^0........t a n 89^0 is a. 0 b. 1 c. ...

    Text Solution

    |