Home
Class 12
MATHS
Let f (alpha ) = sin ^(-1) (sin alpha ...

Let
`f (alpha ) = sin ^(-1) (sin alpha ) + cos ^(-1) ( cosalpha ) and g (beta ) = sin ^(-1) (sin beta) + tan ^(-1) (tan beta),` then the value of `(100) + g (8)` is

A

0

B

8

C

100

D

108

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 47

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos

  • NTA TPC JEE MAIN TEST 49

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

Similar Questions

Explore conceptually related problems

alpha = sin ^ (- 1) (cos (sin ^ (- 1) x)) and beta = cos ^ (- 1) (sin (cos ^ (- 1) x)) then tan alpha tan beta

(cos alpha + cos beta)/( sin alpha - sin beta) + (sin alpha + sin beta)/( cos alpha - cos beta ) =

(cos alpha-cos beta) / (sin beta-sin alpha) = tan ((alpha + beta) / (2))

If alpha = sin^(-1) (cos(sin^-1) x)) and beta = cos^(-1) (sin (cos^(-1) x)) , then find tan alpha. tan beta.

If cos(alpha+beta)+sin(alpha-beta)=0 and tan beta ne1 , then find the value of tan alpha .

If Delta = |(cos alpha,- sin alpha,1),(sin alpha,cos alpha,1),(cos (alpha + beta),- sin (alpha + beta),1)| , then

If sin alpha sin beta-cos alpha cos beta+1=0, then the value of 1+cot alpha tan beta is

tan (alpha + beta) tan (alpha-beta) = (sin ^ (2) alpha-sin ^ (2) beta) / (cos ^ (2) alpha-sin ^ (2) beta)

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 48-MATHEMATICS
  1. The coordinates of the point on the parabola y ^(2) = 8x, which is at ...

    Text Solution

    |

  2. The angle between the tangents to the curve y = x ^(2) - 5x + 6 at poi...

    Text Solution

    |

  3. If a plane passes through the point (1,1,1) and is perpendicular to th...

    Text Solution

    |

  4. If vecr = hati + hatj + hatk and vecr (1) ( a hati + b hatj+ c hatk) w...

    Text Solution

    |

  5. Let f : R to R be a differentiable function such that f (1) =1 , f (...

    Text Solution

    |

  6. If f (x) = max { sin x , sin ^(-1) (cos x )}, then

    Text Solution

    |

  7. Let y = f (x) be function satisfying the differential equation x (dy...

    Text Solution

    |

  8. If int ( 2 cos x + 3 sin x )/( 3 cos x + 4 sin x ) dx = Ax + B ln | ...

    Text Solution

    |

  9. A ladder rests against a wall at an acute angle alpha to the horizont...

    Text Solution

    |

  10. If latus rectum of the ellipse x ^(2) tan ^(2) alpha + y ^(2) sec ^(2)...

    Text Solution

    |

  11. Let f (alpha ) = sin ^(-1) (sin alpha ) + cos ^(-1) ( cosalpha ) and...

    Text Solution

    |

  12. Let p be a matrix of order 3 xx 3 such that all the entries in p are f...

    Text Solution

    |

  13. Find the value of f ^(2) (4) + g ^(2) (4), if f ' (x) = g (x) and g ' ...

    Text Solution

    |

  14. The value of integral part of int (0) ^(2) [ x ^(2) -x +1] dx is : ...

    Text Solution

    |

  15. How many real solutions does the equation 2 sin = x ^(2) = x pi + (pi...

    Text Solution

    |

  16. Let f (x) be a function continuous for all except at x =0 such that ...

    Text Solution

    |

  17. Let f : R to R , y = f (x) be a differentible function satisfying the ...

    Text Solution

    |

  18. Let the set S (n) is defined as follows S (1) = {1} , S (2) = { 2,3,...

    Text Solution

    |

  19. If (d)/(dx) ((1 + x ^(4) + x ^(8))/( 1 + x ^(2) + x ^(4))) = ax ^(3) +...

    Text Solution

    |

  20. Let y be the product of all the divisors of the number 720. If y is di...

    Text Solution

    |