Home
Class 10
MATHS
Prove the following : (All angles are ac...

Prove the following : (All angles are acute angles.)
`tantheta-cottheta=(2sin^(2)theta-1)/(sinthetacostheta)`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Test Your Skills|41 Videos

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Practice Thoroughly|19 Videos

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos

  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions (True or false)|5 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Test Your Skills|48 Videos

Similar Questions

Explore conceptually related problems

Prove the following : (All angles are acute angles.) (sintheta+costheta)/(sintheta-costheta)+(sintheta-costheta)/(sintheta+costheta)=2/(sin^(2)theta-cos^(2)theta)

Prove the following : (All angles are acute angles.) (tantheta+sintheta)/(tantheta-sintheta)=(sectheta+1)/(sectheta-1)

Prove the following : (All angles are acute angles.) (1+tan^(2)theta)(1+sintheta)(1-sintheta)=1

Prove the following : (All angles are acute angles.) sqrt(sec^(2)theta+cosec^(2)theta)=tantheta+cottheta

Prove the following identities : 1/( sectheta-tantheta)-1/(costheta)=1/(costheta)-1/(sectheta+tantheta)

Prove the following identities: (1+tan^(2)theta)+(1+1/(tan^(2)theta))=1/(sin^(2)theta-sin^(4)theta)

Prove the following identities : (cottheta+cosectheta-1)/(cottheta-cosectheta+1)=(1+costheta)/(sintheta)

Prove the following identities : (tantheta+1/(costheta))^(2)+(tantheta-1/(costheta))^(2)=2((1+sin^(2)theta)/(1-sin^(2)theta))

Prove the following identities: (tan^(3)theta)/(1+tan^(2)theta)+(cot^(3)theta)/(1+cot^(2)theta)=secthetacosectheta-2sinthetacostheta

Prove the following identities : sec^(2)theta-cos^(2)theta=sin^(2)theta(sec^(2)theta+1)

KUMAR PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Other Important Examples
  1. Evaluate each of the following : 3cos^(2)30^(@)+sec^(2)30^(@)+2cos0^...

    Text Solution

    |

  2. Show that 2(cos^(4)60^(@)+sin^(4)30^(@))-(tan^(2)60^(@)+cot^(2)45^(@...

    Text Solution

    |

  3. Find the value of x in the following equation sin 2x = sin 60° cos 30°...

    Text Solution

    |

  4. If theta is an acute angle and tan theta + cot theta = 2 , find the va...

    Text Solution

    |

  5. Given that sin (A+ B) = sin A cos B + cos A sin B , find the value o...

    Text Solution

    |

  6. Prove that : (cos80^(@))/(sin10^(@))+cos59^(@)cosec31^(@)=2

    Text Solution

    |

  7. Evaluate the following : (2tan53^(@))/(cot37^(@))-(cot80^(@))/(tan10...

    Text Solution

    |

  8. Express sin 72° + cot 72° in terms trigonometric ratios of angles betw...

    Text Solution

    |

  9. Evaluate: ((sin47^(@))/(cos43^(@)))^(2)+((cos43^(@))/(sin47^(@)))^(2)-...

    Text Solution

    |

  10. If sec 5A = cosec (A + 36°) , where 5A is an acute angle, find the va...

    Text Solution

    |

  11. Prove the following : (All angles are acute angles.) sqrt(sec^(2)the...

    Text Solution

    |

  12. Prove the following : (All angles are acute angles.) (1+tan^(2)theta...

    Text Solution

    |

  13. Prove the following : (All angles are acute angles.) (tantheta+sinth...

    Text Solution

    |

  14. Prove the following : (All angles are acute angles.) (sintheta+costh...

    Text Solution

    |

  15. Prove the following : (All angles are acute angles.) tantheta-cotthe...

    Text Solution

    |

  16. If sintheta + sin^(2)theta = 1 , prove that cos^(2)theta + cos^(4)thet...

    Text Solution

    |

  17. If cos theta + sin theta = p and sec theta + cosec theta = q , prove t...

    Text Solution

    |

  18. If costheta + sin theta = sqrt2 cos theta, prove that cos theta - sin ...

    Text Solution

    |

  19. Prove that 2 (sin^(6)theta +cos^(6) theta ) - 3(sin^(4)theta +cos^(4...

    Text Solution

    |

  20. If x sin^(3)theta + y cos^(3)theta = sintheta costheta and x sin theta...

    Text Solution

    |