Home
Class 12
MATHS
of 0 < x < 90^@ and cosx=3/sqrt10 then t...

of `0 < x < 90^@` and `cosx=3/sqrt10` then the value of `log_10 sinx+log_10 cosx+log_10 tanx` is

A

2

B

3

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -2(Level -II)|12 Videos
  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -3|39 Videos
  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise 1|47 Videos
  • THREE DIMENSIONAL GEOMETRY (3 -D)

    MOTION|Exercise SOLVED EXAMPLE|33 Videos
  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

Find the rank of B= [[1,0,1,1],[0,0,1,2],[0,1,0,0],[0,0,0,1]]

If A = [{:( 0,0,0),(0,0,0) ,(0,1,0):}] ,then A is

If A=[[a, 0, 0], [0, a, 0], [0, 0, a]] , then |A||adjA|=

If A=[[a, 0, 0], [0, a, 0], [0, 0, a]] , then |adjA|=

If A = [{:( 0,0,0),( 1,0,0),(0,1,0):}] ,then

The inverse of the matrix [(0,0,1),(0,1,0),(1,0,0)] is (A) [(0,0,1),(0,1,0),(1,0,0)] (B) [(0,0,-1),(0,-1,0),(-1,0,0)] (C) [(1,0,0),(0,1,0),(0,0,1)] (D) [(1/2,0,0),(0,1/2,0),(0,0,1/2)]

Volume of tetrahedron with vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), (0, 0, 1) is

What are corrdinates of the point equidistant from the points (a,0,0),(0,a,0),(0,0,a) and (0,0,0) ?

What are coordinates of the point equidistant from the points (a,0,0), (0,a,0),(0,0,a) and (0,0,0)?

MOTION-TRIGNOMETRIC RATIOS & IDENTITIES -Exercise 2(Level -I)
  1. The value of (1-tan^2 1 5^(@))/(1+tan^2 1 5^(@)) is

    Text Solution

    |

  2. IF tan^2 theta=2 tan^2 phi +1 then find the value of cos 2 theta+sin^2...

    Text Solution

    |

  3. If alpha in [(pi)/(2),pi] then the value of sqrt(1+ sin alpha)-sqrt(...

    Text Solution

    |

  4. sqrt(2+sqrt(2+2cos 4 theta)), forall 0 lt theta lt pi//4 is

    Text Solution

    |

  5. The value of tan (pi/16)+2tan(pi/8)+4 is equal to

    Text Solution

    |

  6. If A=tan6^(@) tan 42^(@) and B= cot 66^(@)cot 78^(@) then-

    Text Solution

    |

  7. The value of 64sqrt(3)sin(pi/48)cos(pi/48)cos(pi/24)cos(pi/12)cos(pi/6...

    Text Solution

    |

  8. Let a and b be positive number not equal to 1 and (3pi)/(2) lt theta ...

    Text Solution

    |

  9. f(theta)=sin^4theta+cos^2theta then range of f(theta)

    Text Solution

    |

  10. The value of cos(pi/19)+cos((3pi)/19)+cos((5pi)/19)+......+cos((17pi)/...

    Text Solution

    |

  11. Value of cos(pi/(2n+1))+cos((3pi)/(2n+1))+cos((5pi)/(2n+1))+... upto ...

    Text Solution

    |

  12. A regular hexagon & a regular dodecagon are inscribed in the same circ...

    Text Solution

    |

  13. in any triangle ABC, which is not right angled Sigma cosA.cosecB.cosec...

    Text Solution

    |

  14. If 3 cos x + 2 cos 3x = cos y, 3 sin x + 2 sin 3x = sin y, then the va...

    Text Solution

    |

  15. of 0 < x < 90^@ and cosx=3/sqrt10 then the value of log10 sinx+log10 c...

    Text Solution

    |

  16. if tantheta=1/(2+(1/(2+1/(2+...oo)))) then find possible values of the...

    Text Solution

    |

  17. If (sinA)/(sinB)=(sqrt(3))/(2) and (cosA)/(cosB)=(sqrt(5))/(2) , 0 lt...

    Text Solution

    |

  18. If 2 cos x +sin x=1 then value of 7 cos x + 6 sin x lis equal to

    Text Solution

    |

  19. Let f(x) denote the sum of the infinite trigonometric series f(x)=unde...

    Text Solution

    |

  20. If tan A & tan B are the roots of the quadratic equation x^2 - ax +...

    Text Solution

    |