Home
Class 12
MATHS
Prove the following identities: sinal...

Prove the following identities:
`sinalpha cosalpha(tanalpha-cotalpha)=2sin^2alpha-1`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|1 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Multiple Answers Type)|4 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • VECTOR

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION|18 Videos

Similar Questions

Explore conceptually related problems

Prove the following identities: (sinalpha+cosecalpha)^2+(cosalpha+secalpha)^2=tan^2alpha+cot^2alpha+7

Prove the following identities: (1-sin alpha+cosalpha)^2=2(1+cos alpha)(1-sin alpha)

Prove the following identities: cot^2alpha(secalpha-1)/(1+sinalpha)+sec^2alpha(sinalpha-1)/(secalpha+1)=0

Prove the following identities: (cos alpha cos beta+sin alphasin beta)^2+(sinalphacos beta-cos alphasinbeta)^2=1

Prove the following identities: (sin alpha sin 11 alpha + sin 3 alpha sin 7 alpha)/(sin alpha cos 11 alpha + sin 3 alpha cos 7 alpha)= tan 8 alpha

Prove that: t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha

If tantheta=(sin alpha-cos alpha)/(sinalpha+cosalpha)1 then

Prove that cosalpha/(sin3alpha)+(cos3alpha)/(sin9alpha)+(cos9alpha)/(sin27alpha)=1/2[cotalpha-cot27alpha]

Find the adjoint and inverse of each of the following matrices : [(cos alpha, sin alpha), (-sin alpha, cosalpha)]

Which of the following identities, wherever defined, hold(s) good? (a)cotalpha-tanalpha=2cot2alpha (b)tan(45^0+alpha)-tan(45^0-alpha)=2cos e c2alpha (c)tan(45^0+alpha)+tan(45^0-alpha)=2sec2alpha (d)tanalpha+cotalpha=2tan2alpha

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES-EXERCISE 2
  1. State which of the following relation is true?

    Text Solution

    |

  2. Prove the following identities: sin A cos A (tanA+cotA)=1

    Text Solution

    |

  3. Prove the following identities: sinalpha cosalpha(tanalpha-cotalpha...

    Text Solution

    |

  4. Prove the following identities: sqrt((1+sintheta)/(1-sin theta))=sec...

    Text Solution

    |

  5. Prove the following identities: sqrt((cosectheta-1)/(cosec+1))=(1-si...

    Text Solution

    |

  6. Prove the following identities: (cosphi)/(1+sinphi)+(1+sinphi)/(cos ...

    Text Solution

    |

  7. Prove the following identities: (cosec theta-sintheta)^2+(sectheta-c...

    Text Solution

    |

  8. Prove the following identities: (cottheta+cosectheta)^2=(1+costheta)...

    Text Solution

    |

  9. Prove the following identities: (1+sintheta)/(1-sintheta)=(sectheta+...

    Text Solution

    |

  10. Prove the following identities: (sinalpha+cosecalpha)^2+(cosalpha+se...

    Text Solution

    |

  11. Prove the following identities: (1+secA+tanA)(1-cosecA+cotA)=2

    Text Solution

    |

  12. prove: ((sin0^@+sin60^@)(cos60^@+cot45^@))/((cot60^@+tan30^@)(cosec30^...

    Text Solution

    |

  13. prove: cos^2 ""60^@,cos^2 ""45^@,cos^2 ""30^@ are in A.P

    Text Solution

    |

  14. prove: tan(pi/3),tan(pi/4),tan(pi/6) are in G.P

    Text Solution

    |

  15. prove: 2cos^2(pi/3)+3/4sec^2(pi/4)+4sin^2(pi/6)=cot^2(pi/6)

    Text Solution

    |

  16. The angle A of the triangle ABC is obtuse, if sec(B+C)=cosec (B-C)=2,...

    Text Solution

    |

  17. If theta is a positive acute angle and tan theta=3/4, find sin theta...

    Text Solution

    |

  18. If theta is a positive acute angle and sec theta =(m^2+1)/(2m) find ...

    Text Solution

    |

  19. If theta is a positive acute angle and cos theta=(15)/(17) , find th...

    Text Solution

    |

  20. If A and B are positive acute angles and sinA =3/5,cosB=(15)/(17) , fi...

    Text Solution

    |