Home
Class 12
MATHS
If theta = sin ^(-1) ((4)/(5)) + sin ^(-...

If `theta = sin ^(-1) ((4)/(5)) + sin ^(-1) ((1)/(3)) and theta _(2) = cos^(-1) ((4)/(5)) + cos ^(-1) ((1)/(3)),` then

A

`theta _(1) gt theta _(2)`

B

`theta _(1) = theta _(2)`

C

`theta _(1) lt theta _(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 42

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos
  • NTA TPC JEE MAIN TEST 44

    NTA MOCK TESTS|Exercise MATHEMATICS |28 Videos

Similar Questions

Explore conceptually related problems

Which of the following angles is greater ? theta_(1) = sin^(-1).(4)/(5) + sin^(-1).(1)/(3) and theta_(2) = cos^(-1).(4)/(5) + cos^(-1).(1)/(3)

Which of the following angles is greater? theta_(1)=sin^(-1)((4)/(5))+sin^(-1)((1)/(3)) or theta_(2)=cos^(-1)((4)/(5))+cos^(-1)((1)/(3))

sin ^ (4) theta + 2sin ^ (2) theta (1- (1) / (cos ec ^ (2) theta)) + cos ^ (4) theta =

If sin^(-1) ((3 sin 2 theta)/(5+4 cos 2 theta))=2 tan^(-1)x , then x=

sin theta cos ^ (3) theta-cos theta sin ^ (3) theta = (1) / (4) sin4 theta

If (1)/(2) sin^(-1) [(3 sin 2 theta)/(5 + 4 cos 2 theta)] = tan^(-1) x, " then " x =

sin^(4) theta + 2 cos^(2) theta (1 - (1)/( sec^(2) theta)) + cos ^(4) theta =

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 43 -MATHEMATICS
  1. Let A be (100, 50) , a point B on the line y = x and point C on x-axis...

    Text Solution

    |

  2. If the line (x - 2)/( 3) = (y +1)/(2) = (z -1)/(-1) intersects the pla...

    Text Solution

    |

  3. If veca = veci + vecj + veck, vecb= 4 veci + 3 vecj + 4 veck and vec...

    Text Solution

    |

  4. If f (x) = || sin (|x| - 2) | - 3|, then

    Text Solution

    |

  5. Let f be a composite function of x defined by f (u) = (1)/( u ^(2) +...

    Text Solution

    |

  6. int ( 3e ^(x) -5e ^(-x))/( 4e ^(x) + 5e ^(-x)) = ax + b ln then (4e ...

    Text Solution

    |

  7. Let f (x+y) = f (x). f (y) for all x and y and f (1) = 2 . If in a tri...

    Text Solution

    |

  8. Let f (x) = sin x + 2 sin^(2) x + 3 sin ^(3) x + 4 sin ^(4) x + .... o...

    Text Solution

    |

  9. If theta = sin ^(-1) ((4)/(5)) + sin ^(-1) ((1)/(3)) and theta (2) = c...

    Text Solution

    |

  10. If p is true and q is false then which of the following is having its ...

    Text Solution

    |

  11. Let x be the number of diagonal matrices A of rela etries and order 3 ...

    Text Solution

    |

  12. If d : A to B where A = { 2,3,4} and B {6,2,3,4,5}, then the number of...

    Text Solution

    |

  13. If the function f (x) = x ^(3) + e ^((pi)/(2)) and g (x) = f ^(-1) (x)...

    Text Solution

    |

  14. int (0) ^((1)/(2)) (1 + sqrt3)/( ((x + 1) ^(2) (1 - x ) ^(6) ) ^((1)/(...

    Text Solution

    |

  15. Let f (x) be a differentiable function and satisfying the equation f...

    Text Solution

    |

  16. The mean of 10 terms is 3. If the first term is increased by 1, second...

    Text Solution

    |

  17. Find the value of f (e ^(4.2)), if 3f (x) - f ((1)/(x)) = log x ^(4) ...

    Text Solution

    |

  18. Let F (x) = int (x) ^((pi)/(3) + x ^(2)) 2 cos^(2) t dt, x in Rand f ...

    Text Solution

    |

  19. If number of ways of arranging letters aaaabbbbccdd' in a line so that...

    Text Solution

    |

  20. Consider the three vectors lamda hati + hatj + 2 hatk , hati + lamda...

    Text Solution

    |