Home
Class 12
MATHS
For 0 < theta < 2pi , sin^(-1)(sintheta)...

For `0 < theta < 2pi` , `sin^(-1)(sintheta)>cos^(-1)(sintheta)` is true when `theta` belongs to

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

Similar Questions

Explore conceptually related problems

If the point (cos theta, sin theta) does not fall in that angle between the lines y = |x-1| in which the origin lies, then theta belongs to

int_(0)^(pi)(sin4theta)/(sintheta)d theta=0

sin theta -2 = cos2theta when 0 le theta le 2pi

If theta in RR and (1 +i cos theta)/(1-2 i cos theta) is real number, then theta will be (when I : Set of integers)

If A(theta)=[(sin theta, i cos theta),(i cos theta, sin theta)] , then which of the following is not true ?

If sin theta + cos theta = m and sin ^(3) theta + cos ^(3) theta =n, state which of the following is true-

Let f(theta)=sintheta(sintheta+sin3theta)dot Then f(theta) is (a) geq0 only when thetageq0 (b) lt=0 for all real theta (c) geq0 for all real theta (d) lt=0 only when thetalt=0

If sin^(3)theta + sintheta costheta + cos^(3)theta =1 , then the value of theta will be-

int(cos2theta)/((sintheta+costheta)^2)d theta is equal to

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of asqrt((1-a^2))+...

    Text Solution

    |

  2. The solution set of inequality log(1/2) sin^-1 x gt log(1/2) cos^-1 x

    Text Solution

    |

  3. For 0 < theta < 2pi , sin^(-1)(sintheta)>cos^(-1)(sintheta) is true wh...

    Text Solution

    |

  4. If |sin^(-1)x|+|cos^(-1)x|=pi/2,t hen

    Text Solution

    |

  5. The mean and standard deviation of 100 observations were calculated as...

    Text Solution

    |

  6. If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a)(sqrt(3)-1...

    Text Solution

    |

  7. Find the area bounded by y=sin^(-1)(sinx) and x-axis for x in [0,100pi...

    Text Solution

    |

  8. Solve cos^(-1)(cosx)>sin^(-1)(sinx),x in [0,2pi]

    Text Solution

    |

  9. If cos(2sin^(-1)x)=1/9, then find the values of xdot

    Text Solution

    |

  10. Find the number of solution of 2tan^(-1)(tanx)=6-x

    Text Solution

    |

  11. Find the value of sin(1/4cos^(-1)((-1)/9))

    Text Solution

    |

  12. Find the value of sin(1/2cot^(-1)(-3/4))

    Text Solution

    |

  13. Solve sin^(-1)(1-x)-2sin^(-1)x=pi/2

    Text Solution

    |

  14. Prove that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

    Text Solution

    |

  15. Simplify sincot^(-1)tancos^(-1)x , x >0

    Text Solution

    |

  16. If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n th...

    Text Solution

    |

  17. If 2tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is independent of x , then (a)x >...

    Text Solution

    |

  18. Equation 1+x^2+2x"sin"(cos^(-1)y)=0 is satisfied by (a) exactly one...

    Text Solution

    |

  19. To the equation 2^(2pi//cos^(-1)x) - (a + (1)/(2)) 2^(pi/cos^(-1)x) -a...

    Text Solution

    |

  20. Let alpha = sin^(-1) ((36)/(85)), beta = cos^(-1) ((4)/(5)) and gamma ...

    Text Solution

    |