Home
Class 12
MATHS
Write the value of sin{pi/3-sin^(-1)(-1/...

Write the value of `sin{pi/3-sin^(-1)(-1/2)}`

A

`1/2`

B

`1/3`

C

-1

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
The value of `sin (frac{pi}{3}-sin ^{-1}(-frac{1}{2}))`
` =sin (frac{pi}{3}-(-frac{pi}{6}))`
` =sin frac{pi}{2}`
` ...
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos

  • JEE MAINS PREVIOUS YEAR

    RD SHARMA|Exercise EXAMPLE|1 Videos

Similar Questions

Explore conceptually related problems

Find the value of sin[pi/3 - sin^(-1) (- 1/2)]

Write the value of sin^(-1)(1/3)-cos^(-1)(-1/3) .

Write the value of sin(2sin^(-1)((3)/(5)))

Find the value of : cos[(pi)/3-"sin"^(-1)(-1/2)]

Evaluate (i) sin [(pi/3 - sin^(-1)(-1/2)]

Find the values of sin{(pi)/(6)-sin^(-1)(-(sqrt(3))/(2))}

Evaluate :sin[(pi)/(3)-sin^(-1)(-(1)/(2))]

sin[(pi)/(2)-sin^(-1)-1/2]

The value of sin((pi)/(2)+2sin^(-1)(1)) is:

Write the value of cos(2\ sin^(-1)1/3) .

RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. Evaluate: sin(cos^(-1)3/5+cos e c^(-1)(13)/5)

    Text Solution

    |

  2. Find the value of the expression sin[cot^(-1){cos(tan^-1 1)}]

    Text Solution

    |

  3. Write the value of sin{pi/3-sin^(-1)(-1/2)}

    Text Solution

    |

  4. If tan^(-1)x+tan^(-1)y=pi/4, then write the value of x+y+x ydot

    Text Solution

    |

  5. Prove that 2tan^(-1)(sqrt((a-b)/(a+b))tan(theta/2))=cos^(-1)((acosthet...

    Text Solution

    |

  6. Solve the following equation for x : tan^(-1)(1/4)+2tan^(-1)(1/5)+...

    Text Solution

    |

  7. Write the value of cos^2(1/2cos^(-1)3/5)

    Text Solution

    |

  8. Write the value of sin^-1(sin1550^@)

    Text Solution

    |

  9. Prove that: tan^(-1){(cos2alphasec2beta+cos2betasec2alpha)/2}=tan^(-1...

    Text Solution

    |

  10. Prove that: (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^2)/2sec^...

    Text Solution

    |

  11. Show that :2tan^(-1)x+sin^(-1)(2x)/(1+x^2) is constant for xgeq1, find...

    Text Solution

    |

  12. Prove that: tan^(-1)((1-x^2)/(2x))+cot^(-1)((1-x^2)/(2x))=pi/2

    Text Solution

    |

  13. Simplify each of the following: cos^(-1)(3/5cosx+4/5sinx) , where -(...

    Text Solution

    |

  14. Write the following functions in the simplest form: tan^(-1){x/(sqrt...

    Text Solution

    |

  15. Evaluate each of the following: cot^(-1)1/(sqrt(3))-cos e c^(-1)(-2)+...

    Text Solution

    |

  16. For the principal values, evaluate the following: cot^(-1)(-1)+cos e ...

    Text Solution

    |

  17. Prove that: (i)tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqr...

    Text Solution

    |

  18. Evaluate each of the following: sin^(-1)(s inpi/3) (ii) cos^(-1)(cos(...

    Text Solution

    |

  19. If cos e c^(-1)x+cos e c^(-1)y+cos e c^(-1)z=-(3pi)/2, find the value ...

    Text Solution

    |

  20. For the principal values, evaluate each of the following: tan^(-1)sqr...

    Text Solution

    |