Home
Class 10
MATHS
Find the value of x in each of the...

Find the value of `x` in each of the following: `tanx=sin45ocos45o+sin30o` (ii) `sqrt(3)tan2x=cos60o+sin45ocos45o` (iii) `cos2x=cos60ocos30o+sin60osin30o`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

Find the value of x in each of the following: (i)tan3x=sin45^0cos45^0+sin30^0, (ii)cosx=cos60^0cos30^0+sin60^0sin30^0 , (iii)sin2x=sin60^0cos30^0-cos60^0sin30^0dot

Evaluate each of the following in the simplest form: sin60ocos30o+cos60osin30o (ii) sin60ocos45o+cos60osin45o (iii) cos60ocos30o+sin60osin30o (iv) cos60ocos30o-sin60osin30o

Evaluate each of the following: (sin^2 45o+cos^2 45o)/(tan^2 60o) (ii) (sin30o-sin90o+2cos0o)/(tan30otan60o)

Find the value of sin60sin45+cos60cos45

Evaluate the following: (i) sin450sin30o+cos450cos30o (ii) sin60o cos30o+cos600sin30o

Evaluate the following: (i) sin35osin55o-cos35ocos55o (ii) tan48otan23otan42otan67o (iii) sec50osin40o+cos40ocos e c 50o

Find the value of the following (i) tan 60^@ xx cos 30^@ (ii) sin 45^@ * cos 45^@ – sin^2 30^@ (iii) 2 sin 45^@* cos 45^@*tan 45^@ (iv) cos 30^@* cos 45^@ – sin 30^@* sin 45^@ (v) tan 30^@* sec 45^@ + tan 60^@* sec 30^@

Evaluate the following: (tan45o)/(cos ec30o)+(sec60o)/(cot45o)-(5sin90o)/(2cos00)

Find the value of x if tan 3 x = sin 45^(@) cos 45^(@) + sin 30^(@)

RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate the following: (tan45^@)/(cos e c\ 30^@)+(sec60^@)/(cot45^@...

    Text Solution

    |

  2. Find the value of x in each of the following: (i) 2sin3x=sqrt(3) (...

    Text Solution

    |

  3. Find the value of x in each of the following: tanx=sin45ocos45o+...

    Text Solution

    |

  4. If theta=30^@ , verify that: (i) tan2theta=(2tantheta)/(1-tan^2theta...

    Text Solution

    |

  5. If theta=30^@ , verify that: (i) cos2theta=(1-tan^2theta)/(1+tan^2th...

    Text Solution

    |

  6. If A=B=60^@ , verify that (i) cos(A-B)=cosAcosB+sinAsinB (ii) sin(A...

    Text Solution

    |

  7. If A=30o and B=60o , verify that sin(A+B)=sinAcosB+cosAsinB (ii) c...

    Text Solution

    |

  8. Using the formula of sin(A-B)=sinAcosB-cosAsinB find the value of sin1...

    Text Solution

    |

  9. In a right triangle A B C , right angled at C , if /B=60o and A ...

    Text Solution

    |

  10. If /\A B C is a right triangle such that /C=90^@ , /A=45^@ and B C=7...

    Text Solution

    |

  11. In a rectangle A B C D ,\ \ A B=20 c m ,\ \ /B A C=60o , calculate ...

    Text Solution

    |

  12. If sin(A+B)=1 and cos(A-B)=1,\ \ 0o<A+Blt=90o , AgeqB find A and B .

    Text Solution

    |

  13. If tan(A-B)=1/(sqrt(3)) and tan(A+B)=sqrt(3) , 0^@ < A+B lt= 90^@, A >...

    Text Solution

    |

  14. If sin(A-B) = 1/2 and cos(A+B) = 1/2, 0^@ < A+B < 90^@ and A>B, then f...

    Text Solution

    |

  15. In a /\A B C right angled at B , /A=/C . Find the values of (i) si...

    Text Solution

    |

  16. If A and B are acute angles such that tanA=1/2 , tanB=1/3 and tan(A...

    Text Solution

    |

  17. In /\P Q R , right-angled at Q ,\ P Q=3c m and P R=6c m . Determine ...

    Text Solution

    |

  18. Evaluate the following: (i) (cos80o)/(sin10o)+cos59o\ cos e c\ 31o ...

    Text Solution

    |

  19. Evaluate the following: (i) sec50osin40o+cos40o\ cos e c\ 50o (ii)...

    Text Solution

    |

  20. Prove that: (i) sin35osin55o-cos35ocos55o=0 (ii) (cos70o)/(sin20o)...

    Text Solution

    |